Metrics for 2sqrt (example 3.1)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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 15 to 11 computations (26.7% saved)

sample1.3s (38.5%)

Memory

4.8MiB live, 1 750.2MiB allocated; 340ms collecting garbage

Samples

975.0ms	8 130×	1	valid
4.0ms	125×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 715.0ms

ival-sqrt: 386.0ms (54% of total)

adjust: 190.0ms (26.6% of total)

ival-add!: 97.0ms (13.6% of total)

ival-sub!: 42.0ms (5.9% of total)

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

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

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

Bogosity

preprocess69.0ms (2.1%)

Memory

-3.3MiB live, 45.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	38	22
2	86	22
3	324	21
4	1567	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

6 → 28

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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 (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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 (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 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
2.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))

rewrite140.0ms (4.2%)

Memory

26.2MiB live, 117.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	730
0	135	665
1	903	607
0	8152	583

Stop Event

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

Counts

34 → 149

Calls

Call 1

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

eval23.0ms (0.7%)

Memory: -21.4MiB live, 24.4MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 201 to 532 computations (55.7% saved)

prune9.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	134	10	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	10	145

Accuracy

99.6%

Counts

145 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
▶	6.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
▶	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	7.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
▶	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	6.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))))))
	44.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))
▶	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))

Compiler

Compiled 250 to 222 computations (11.2% saved)

series438.0ms (13.1%)

Memory

-58.9MiB live, 41.7MiB allocated; 692ms collecting garbage

Counts

26 → 133

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) 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 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (pow (sqrt x) 2) x)))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* -1 (* x (sqrt x))) (pow (sqrt x) 2)) x)))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (- (* 1/2 x) (sqrt x))) (pow (sqrt x) 2)) x)))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (- (* x (+ 1/2 (* -1/8 (/ (pow x 2) (pow (sqrt x) 2))))) (sqrt x))) (pow (sqrt x) 2)) x)))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (pow (sqrt x) 2)) x)))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ 1/2 (* -1/8 (/ (pow x 2) (pow (sqrt x) 2))))) (pow (sqrt x) 2)) x)))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt x) 4))) (* 1/8 (/ 1 (pow (sqrt x) 2))))))) (pow (sqrt x) 2)) x)))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (/ (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x)))) x)))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (/ (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x)))))) x)))
#s(approx (sqrt (/ (- x -1) x)) #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)))))) x)))
#s(approx (/ (- x -1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- x -1) x) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (* (sqrt x) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (/ x (sqrt x)))))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x)))))))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (/ x (sqrt x))))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x))))))
#s(approx (sqrt (* (- x -1) x)) #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 -1) x)) #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 -1) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) #s(hole binary64 (* 1/2 (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 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 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 3))) (* 1/2 (/ (sqrt (/ 1 x)) x))))))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 x)))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))
#s(approx (/ (- x -1) x) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (* 1/6 (/ (sqrt (/ 1 x)) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/24 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))) (+ (* 1/144 (sqrt (/ 1 x))) (+ (* 1/24 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/72 (sqrt (/ 1 x))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))))))))) (pow x 3))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (/ (sqrt (/ 1 x)) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))) (/ (sqrt (/ 1 x)) x)))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (- x -1) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -1) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 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 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (/ (sqrt (/ 1 x)) x))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (/ (sqrt (/ 1 x)) x))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x))) x)))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (/ (sqrt (/ 1 x)) x))) x)) (* -1/2 (sqrt (/ 1 x)))) x)))))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* x (sqrt (/ 1 x))))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (/ (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)) (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3)))))) (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (pow (sqrt (/ 1 x)) 3))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))) x))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)) 1)))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))) x)) 1)))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 -1/2))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (- (* 1/8 (/ 1 x)) 1/2)))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2)))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2)))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))))
#s(approx (sqrt (* (- x -1) x)) #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
426.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+ x (sqrt (* (- x -1) x))) (sqrt (* (- x -1) x)) (* (- x -1) x))
5.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+ x (sqrt (* (- x -1) x))) (sqrt (* (- x -1) x)) (* (- x -1) x))
4.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+ x (sqrt (* (- x -1) x))) (sqrt (* (- x -1) x)) (* (- x -1) x))

Time

Variable

Point

Expression

426.0ms

-inf

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

5.0ms

inf

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

4.0ms

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

rewrite200.0ms (6%)

Memory

-22.4MiB live, 221.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	668	4500
0	717	4064
1	5441	3389
0	9063	3259

Stop Event

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

Counts

159 → 376

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 x))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) x)
(+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) 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 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (pow (sqrt x) 2) x)))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* -1 (* x (sqrt x))) (pow (sqrt x) 2)) x)))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (- (* 1/2 x) (sqrt x))) (pow (sqrt x) 2)) x)))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (* x (- (* x (+ 1/2 (* -1/8 (/ (pow x 2) (pow (sqrt x) 2))))) (sqrt x))) (pow (sqrt x) 2)) x)))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (pow (sqrt x) 2)) x)))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ 1/2 (* -1/8 (/ (pow x 2) (pow (sqrt x) 2))))) (pow (sqrt x) 2)) x)))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (/ (+ (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt x) 4))) (* 1/8 (/ 1 (pow (sqrt x) 2))))))) (pow (sqrt x) 2)) x)))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (/ (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x)))) x)))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (/ (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x)))))) x)))
#s(approx (sqrt (/ (- x -1) x)) #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)))))) x)))
#s(approx (/ (- x -1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (- x -1) x) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (* (sqrt x) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (/ x (sqrt x)))))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x)))))))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (/ x (sqrt x))))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ (pow x 2) (sqrt x))))))
#s(approx (sqrt (* (- x -1) x)) #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 -1) x)) #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 -1) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) #s(hole binary64 (* 1/2 (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 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 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 3))) (* 1/2 (/ (sqrt (/ 1 x)) x))))))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 x)))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))))
#s(approx (/ (- x -1) x) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (neg (sqrt x)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (* 1/6 (/ (sqrt (/ 1 x)) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/24 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))) (+ (* 1/144 (sqrt (/ 1 x))) (+ (* 1/24 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/72 (sqrt (/ 1 x))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))))))))) (pow x 3))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (/ (sqrt (/ 1 x)) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))) (/ (sqrt (/ 1 x)) x)))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (- x -1) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -1) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 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 (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (/ (sqrt (/ 1 x)) x))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (/ (- x -1) x)) (sqrt x)) (sqrt x)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (/ (sqrt (/ 1 x)) x))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x))) x)))))))
#s(approx (* (sqrt (/ (- x -1) x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (/ (sqrt (/ 1 x)) x))) x)) (* -1/2 (sqrt (/ 1 x)))) x)))))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))
#s(approx (sqrt (/ (- x -1) x)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* x (sqrt (/ 1 x))))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (/ (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)) (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3)))))) (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (pow (sqrt (/ 1 x)) 3))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* x (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))) x))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)) 1)))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x))) x)) 1)))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 -1/2))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (- (* 1/8 (/ 1 x)) 1/2)))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2)))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 5/128 (/ 1 x)) 1/16) x)) 1/8) x)) 1/2)))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))))
#s(approx (sqrt (* (- x -1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))))

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(pow.f64 (/.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 x) x) x)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 x (/.f64 (sqrt.f64 x) x))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(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 (neg.f64 (.f64 x x)) (.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (.f64 x x) (/.f64 (sqrt.f64 x) x)) (.f64 x x))
(/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 x (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 5 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x)) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(neg.f64 (-.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (fma.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))) (.f64 (neg.f64 x) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) x))
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (fma.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))) (.f64 (neg.f64 x) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
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#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (fma.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (sqrt.f64 x))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (sqrt.f64 x))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (fma.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ x (sqrt (* (- x -1) x))) (+.f64 (sqrt.f64 x) x))
#s(approx (+ x (sqrt (* (- x -1) x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x (sqrt.f64 x)))
#s(approx (+ x (sqrt (* (- x -1) x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) x (sqrt.f64 x)))
#s(approx (sqrt (* (- x -1) x)) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (* (- x -1) x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (sqrt (* (- x -1) x)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x) (sqrt.f64 x)))
#s(approx (* (- x -1) x) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) x))
#s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (+.f64 (sqrt.f64 x) (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) #s(literal -5/128 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ x 1)) (+.f64 (sqrt.f64 x) (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 (sqrt.f64 x) (.f64 x (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (sqrt (+ x 1)) (+.f64 (sqrt.f64 x) (.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))) x)))
#s(approx (sqrt (/ (- x -1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- x -1) x)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
#s(approx (sqrt (/ (- x -1) x)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
#s(approx (/ (- x -1) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (neg (sqrt x)) (neg.f64 (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/72 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/144 binary64) (/.f64 (sqrt.f64 x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal -1/72 binary64) (/.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 x) x))))) (.f64 (.f64 x x) x))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/72 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x)))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+.f64 (sqrt.f64 x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (.f64 (-.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 x) x) (/.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) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (* (sqrt (- x -1)) (- x -1)) (*.f64 (sqrt.f64 x) x))
#s(approx (* (sqrt (- x -1)) (- x -1)) (fma.f64 (sqrt.f64 x) x (sqrt.f64 x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (fma.f64 (sqrt.f64 x) x (.f64 (.f64 x x) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (fma.f64 (sqrt.f64 x) x (.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) x))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (+ x (sqrt (* (- x -1) x))) (+.f64 x x))
#s(approx (+ x (sqrt (* (- x -1) x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (* (- x -1) x))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (+ x (sqrt (* (- x -1) x))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (sqrt (* (- x -1) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (* (- x -1) x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (sqrt (* (- x -1) x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
#s(approx (* (- x -1) x) (*.f64 x x))
#s(approx (* (- x -1) x) (fma.f64 (*.f64 x x) #s(literal 1 binary64) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) x)))
#s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/16 binary64))) x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) x)) x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 x (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))))
#s(approx (sqrt (/ (- x -1) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- x -1) x)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x) #s(literal 1/2 binary64))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (neg.f64 (+.f64 (sqrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) x)))) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) x))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) x)) (*.f64 x x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))) (.f64 x x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))) (*.f64 x x)))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
#s(approx (+ (- x -1) (+ x (sqrt (* (- x -1) x)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
#s(approx (+ x (sqrt (* (- x -1) x))) #s(literal -1/2 binary64))
#s(approx (+ x (sqrt (* (- x -1) x))) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)))
#s(approx (+ x (sqrt (* (- x -1) x))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (+ x (sqrt (* (- x -1) x))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* (- x -1) x)) (neg.f64 x))
#s(approx (sqrt (* (- x -1) x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (sqrt (* (- x -1) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))
#s(approx (sqrt (* (- x -1) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))))

eval57.0ms (1.7%)

Memory: 21.0MiB live, 108.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 5 468 to 1 898 computations (65.3% saved)

prune29.0ms (0.9%)

Memory

-12.2MiB live, 39.5MiB allocated; 17ms collecting garbage

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	506	11	517
Fresh	2	3	5
Picked	2	3	5
Done	0	0	0
Total	510	17	527

Accuracy

100.0%

Counts

527 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	7.4%	(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	6.4%	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x))))
✓	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	7.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
	6.4%	(.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))))
▶	96.9%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
▶	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) #s(literal -5/128 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
	96.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
	44.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
✓	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶	98.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
▶	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
▶	7.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))

Compiler

Compiled 443 to 401 computations (9.5% saved)

series27.0ms (0.8%)

Memory

-1.9MiB live, 42.6MiB allocated; 6ms collecting garbage

Counts

35 → 89

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (/ (sqrt x) (pow x 4)))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (* x (sqrt x)))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (/ (pow x 2) (sqrt x))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* (pow x 2) (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))))))) (pow x 4))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (/ (pow x 3) (sqrt x)))))) (pow x 4))))
#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) #s(hole binary64 (/ (sqrt x) (pow x 4))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (/ (sqrt x) (pow x 3)))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (/ (pow x 3) (sqrt x)))) (pow x 3))))
#s(approx (/ (/ (sqrt x) x) (* x x)) #s(hole binary64 (/ (sqrt x) (pow x 3))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (* (* 1/2 (sqrt x)) (/ 1 x)) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (/ 1/8 (* (sqrt x) x)) #s(hole binary64 (/ 1/8 (* x (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (* (sqrt x) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (* 1/3 (sqrt x)) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) #s(hole binary64 (* 1/3 (/ (sqrt x) x))))
#s(approx (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) #s(hole binary64 (/ (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) x)))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (sqrt x))))
#s(approx (/ 1/6 (* (sqrt x) x)) #s(hole binary64 (/ 1/6 (* x (sqrt x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) #s(hole binary64 (/ (sqrt (/ 1 x)) (pow x 3))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (/ (sqrt x) x) (* x x)) #s(hole binary64 (/ (sqrt (/ 1 x)) (pow x 2))))
#s(approx (* (* 1/2 (sqrt x)) (/ 1 x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (/ 1/2 (sqrt 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 (/ 1/8 (* (sqrt x) x)) #s(hole binary64 (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (* 1/6 (/ (sqrt (/ 1 x)) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/24 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))) (+ (* 1/144 (sqrt (/ 1 x))) (+ (* 1/24 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/72 (sqrt (/ 1 x))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))))))))) (pow x 3))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (/ 1/6 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (* (sqrt x) x)) #s(hole binary64 (/ 1/6 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 1/8 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (+ (* 5/128 (/ (sqrt (/ 1 x)) x)) (* 1/8 (/ 1 (sqrt (/ 1 x)))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (/ (sqrt (/ 1 x)) x))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) (pow x 3)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (/ (sqrt x) x) (* x x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (* (* 1/2 (sqrt x)) (/ 1 x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (/ 1/2 (sqrt 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 (/ 1/8 (* (sqrt x) x)) #s(hole binary64 (/ -1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* x (sqrt (/ 1 x))))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (/ (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)) (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3)))))) (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (* -1/3 (sqrt (/ 1 x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (* -1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* -1 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x)))))) x)) (* -1/3 (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ -1/6 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (* (sqrt x) x)) #s(hole binary64 (/ -1/6 (* (pow x 2) (sqrt (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (/ (sqrt x) x) (* (* x x) x)) (/ (sqrt x) x) (* (* x x) x) (* x x) -5/128 (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/ (/ (sqrt x) x) (* x x)) 1/16 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (* 1/2 (sqrt x)) (/ 1 x)) (* 1/2 (sqrt x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/ 1/8 (* (sqrt x) x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) 1/3 (/ 1/6 (sqrt x)) 1/6 (/ 1/6 (* (sqrt x) x)))
7.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (/ (sqrt x) x) (* (* x x) x)) (/ (sqrt x) x) (* (* x x) x) (* x x) -5/128 (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/ (/ (sqrt x) x) (* x x)) 1/16 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (* 1/2 (sqrt x)) (/ 1 x)) (* 1/2 (sqrt x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/ 1/8 (* (sqrt x) x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) 1/3 (/ 1/6 (sqrt x)) 1/6 (/ 1/6 (* (sqrt x) x)))
5.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (/ (sqrt x) x) (* (* x x) x)) (/ (sqrt x) x) (* (* x x) x) (* x x) -5/128 (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/ (/ (sqrt x) x) (* x x)) 1/16 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (* 1/2 (sqrt x)) (/ 1 x)) (* 1/2 (sqrt x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/ 1/8 (* (sqrt x) x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) 1/3 (/ 1/6 (sqrt x)) 1/6 (/ 1/6 (* (sqrt x) x)))

Time

Variable

Point

Expression

7.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (/ (sqrt x) x) (* (* x x) x)) (/ (sqrt x) x) (* (* x x) x) (* x x) -5/128 (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/ (/ (sqrt x) x) (* x x)) 1/16 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (* 1/2 (sqrt x)) (/ 1 x)) (* 1/2 (sqrt x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/ 1/8 (* (sqrt x) x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) 1/3 (/ 1/6 (sqrt x)) 1/6 (/ 1/6 (* (sqrt x) x)))

7.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (/ (sqrt x) x) (* (* x x) x)) (/ (sqrt x) x) (* (* x x) x) (* x x) -5/128 (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/ (/ (sqrt x) x) (* x x)) 1/16 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (* 1/2 (sqrt x)) (/ 1 x)) (* 1/2 (sqrt x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/ 1/8 (* (sqrt x) x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) 1/3 (/ 1/6 (sqrt x)) 1/6 (/ 1/6 (* (sqrt x) x)))

5.0ms

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (/ (sqrt x) x) (* (* x x) x)) (/ (sqrt x) x) (* (* x x) x) (* x x) -5/128 (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/ (/ (sqrt x) x) (* x x)) 1/16 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (* 1/2 (sqrt x)) (/ 1 x)) (* 1/2 (sqrt x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/ 1/8 (* (sqrt x) x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) 1/3 (/ 1/6 (sqrt x)) 1/6 (/ 1/6 (* (sqrt x) x)))

rewrite217.0ms (6.5%)

Memory

43.4MiB live, 262.3MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	455	3556
0	513	3139
1	3541	2416
0	10779	2338

Stop Event

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

Counts

124 → 511

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) #s(literal -5/128 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) #s(literal -5/128 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) #s(literal -5/128 binary64) (fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x))
(/.f64 (sqrt.f64 x) x)
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -5/128 binary64)
(fma.f64 (/.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x x))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1/8 binary64)
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
(-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (/ (sqrt x) (pow x 4)))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (* x (sqrt x)))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (/ (pow x 2) (sqrt x))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* (pow x 2) (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))))))) (pow x 4))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (/ (pow x 3) (sqrt x)))))) (pow x 4))))
#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) #s(hole binary64 (/ (sqrt x) (pow x 4))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (/ (sqrt x) (pow x 3)))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (/ (pow x 3) (sqrt x)))) (pow x 3))))
#s(approx (/ (/ (sqrt x) x) (* x x)) #s(hole binary64 (/ (sqrt x) (pow x 3))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (* (* 1/2 (sqrt x)) (/ 1 x)) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (/ 1/8 (* (sqrt x) x)) #s(hole binary64 (/ 1/8 (* x (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (* (sqrt x) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (* 1/3 (sqrt x)) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) #s(hole binary64 (* 1/3 (/ (sqrt x) x))))
#s(approx (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) #s(hole binary64 (/ (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) x)))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (sqrt x))))
#s(approx (/ 1/6 (* (sqrt x) x)) #s(hole binary64 (/ 1/6 (* x (sqrt x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) #s(hole binary64 (/ (sqrt (/ 1 x)) (pow x 3))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (/ (sqrt x) x) (* x x)) #s(hole binary64 (/ (sqrt (/ 1 x)) (pow x 2))))
#s(approx (* (* 1/2 (sqrt x)) (/ 1 x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (/ 1/2 (sqrt 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 (/ 1/8 (* (sqrt x) x)) #s(hole binary64 (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (* 1/6 (/ (sqrt (/ 1 x)) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/24 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))) (+ (* 1/144 (sqrt (/ 1 x))) (+ (* 1/24 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/72 (sqrt (/ 1 x))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))))))))) (pow x 3))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (/ 1/6 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (* (sqrt x) x)) #s(hole binary64 (/ 1/6 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 1/8 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (+ (* 5/128 (/ (sqrt (/ 1 x)) x)) (* 1/8 (/ 1 (sqrt (/ 1 x)))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (/ (sqrt (/ 1 x)) x))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) (pow x 3)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (/ (sqrt x) x) (* x x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) (pow x 2)))))
#s(approx (* (* 1/2 (sqrt x)) (/ 1 x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (/ 1/2 (sqrt 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 (/ 1/8 (* (sqrt x) x)) #s(hole binary64 (/ -1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* x (sqrt (/ 1 x))))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (/ (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)) (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3)))))) (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (* -1/3 (sqrt (/ 1 x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (* -1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* -1 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x)))))) x)) (* -1/3 (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ -1/6 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (* (sqrt x) x)) #s(hole binary64 (/ -1/6 (* (pow x 2) (sqrt (/ 1 x))))))

Outputs
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x (.f64 (.f64 x x) x))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x))))
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(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/216 binary64) (.f64 (sqrt.f64 x) x))) (.f64 (sqrt.f64 x) x)) (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))) (*.f64 (sqrt.f64 x) x)))
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(neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x)))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) x)))
(+.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 x) x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/6 binary64))) (neg.f64 (sqrt.f64 x)))
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(/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))
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(/.f64 (fma.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/216 binary64) (.f64 (sqrt.f64 x) x))) (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/6 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))
#s(literal 1/3 binary64)
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 x) x))
(pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 (sqrt.f64 x)))
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(/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (sqrt.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (.f64 (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -5/128 binary64)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 x x) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (/ 1 (* (sqrt x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
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#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (.f64 (/.f64 (sqrt.f64 x) (.f64 (*.f64 x x) x)) #s(literal 1/16 binary64)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) x) (sqrt.f64 x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (.f64 (*.f64 x x) x)))
#s(approx (/ (/ (sqrt x) x) (* x x)) (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x)))
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1/2 (sqrt x)) (/ 1/8 (* (sqrt x) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (/ 1/8 (* (sqrt x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
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#s(approx (/ 1/6 (* (sqrt x) x)) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x)))
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#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x)) #s(literal -5/128 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x))
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#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (sqrt x) (sqrt.f64 x))
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#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) (/.f64 (sqrt.f64 x) (.f64 x (.f64 (*.f64 x x) x))))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (/ (sqrt x) x) (* x x)) (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x)))
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 x) x)))) (fma.f64 #s(literal -1/72 binary64) (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/144 binary64) (/.f64 (sqrt.f64 x) x) (fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (.f64 #s(literal -1/72 binary64) (/.f64 (sqrt.f64 x) x)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 (sqrt.f64 x) x))))) (.f64 (.f64 x x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 x) x))))) (fma.f64 #s(literal -1/72 binary64) (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (/ 1/6 (sqrt x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
#s(approx (/ 1/6 (* (sqrt x) x)) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
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#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) x) (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x))) x)))
#s(approx (/ 1 (* (sqrt x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (sqrt.f64 x) x)))
#s(approx (sqrt x) (neg.f64 (sqrt.f64 x)))
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#s(approx (/ (/ (sqrt x) x) (* (* x x) x)) (neg.f64 (/.f64 (sqrt.f64 x) (.f64 x (.f64 (*.f64 x x) x)))))
#s(approx (/ (sqrt x) x) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (/ (sqrt x) x) (* x x)) (neg.f64 (/.f64 (sqrt.f64 x) (.f64 (.f64 x x) x))))
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
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#s(approx (/ 1/8 (* (sqrt x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1/2 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal 1/8 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) x)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) x))))
#s(approx (/ 1/6 (sqrt x)) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x)))
#s(approx (/ 1/6 (* (sqrt x) x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) x)))

eval104.0ms (3.1%)

Memory: -12.7MiB live, 151.8MiB allocated; 70ms collecting garbage
Compiler: Compiled 8 558 to 2 975 computations (65.2% saved)

prune20.0ms (0.6%)

Memory

0.8MiB live, 47.3MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	2	7	9
Picked	2	3	5
Done	0	3	3
Total	636	19	655

Accuracy

100.0%

Counts

655 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	7.4%	(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	6.4%	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x))))
✓	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶	7.6%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
	6.4%	(.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))))
▶	96.8%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶	96.7%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
▶	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) #s(approx (+ ( (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
	96.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
	65.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 x) x)))
	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
✓	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
✓	98.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
✓	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
▶	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))
✓	7.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))

Compiler

Compiled 577 to 496 computations (14% saved)

series19.0ms (0.6%)

Memory

-10.6MiB live, 35.8MiB allocated; 3ms collecting garbage

Counts

34 → 118

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (/ (sqrt x) (pow x 4)))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (* x (sqrt x)))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (/ (pow x 2) (sqrt x))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* (pow x 2) (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))))))) (pow x 4))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ 1/16 (* (pow x 2) (sqrt x)))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* x (- (* 1/2 (sqrt x)) (* 1/8 (/ 1 (sqrt x))))) (* 1/16 (/ 1 (sqrt x)))) (pow x 2))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (/ 1/16 (* x (sqrt x)))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (sqrt x)) (* 1/8 (/ 1 (sqrt x))))) (* 1/16 (/ 1 (sqrt x)))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/2 (* x (sqrt x))) (* 1/16 (/ 1 (sqrt x)))) x)))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ 1/8 (sqrt x)) #s(hole binary64 (/ 1/8 (sqrt x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (* (sqrt x) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (* 1/3 (sqrt x)) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) #s(hole binary64 (* 1/3 (/ (sqrt x) x))))
#s(approx (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) #s(hole binary64 (/ (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) x)))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- 1 (pow (sqrt (sqrt x)) 2))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (pow (sqrt (sqrt x)) 2))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (pow (sqrt (sqrt x)) 2))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (pow (sqrt (sqrt x)) 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) #s(hole binary64 (pow (sqrt (sqrt x)) 2)))
#s(approx (sqrt (sqrt x)) #s(hole binary64 (sqrt (sqrt x))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (/ (pow x 3) (sqrt x)))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/2 (* x (sqrt x))) (* 1/16 (/ 1 (sqrt x)))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* x (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* x (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x)))))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (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 -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (* 1/6 (/ (sqrt (/ 1 x)) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/24 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))) (+ (* 1/144 (sqrt (/ 1 x))) (+ (* 1/24 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/72 (sqrt (/ 1 x))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))))))))) (pow x 3))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (/ 1/6 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (/ (sqrt (/ 1 x)) x) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* (pow x 3) (sqrt (/ 1 x)))) (/ (sqrt (/ 1 x)) x)) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))) (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2))))
#s(approx (sqrt (sqrt x)) #s(hole binary64 (* x (sqrt (/ (sqrt (/ 1 x)) x)))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 1/8 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (+ (* 5/128 (/ (sqrt (/ 1 x)) x)) (* 1/8 (/ 1 (sqrt (/ 1 x)))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (- (+ (* -1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x)))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (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 -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* x (sqrt (/ 1 x))))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (/ (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)) (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3)))))) (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (* -1/3 (sqrt (/ 1 x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (* -1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* -1 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x)))))) x)) (* -1/3 (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ -1/6 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (sqrt (/ 1 x)) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#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 (* (sqrt (sqrt x)) (sqrt (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2))))
#s(approx (sqrt (sqrt x)) #s(hole binary64 (* -1 (* x (sqrt (* -1 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (/ (sqrt (/ 1 x)) x))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) #s(hole binary64 (- (* -1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/16 (* 1/2 (sqrt x)) 1/2 (/ 1/8 (sqrt x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/ 1/2 (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (/ (sqrt x) x) 1/3 (/ 1/6 (sqrt x)) 1/6 (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x))
6.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/16 (* 1/2 (sqrt x)) 1/2 (/ 1/8 (sqrt x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/ 1/2 (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (/ (sqrt x) x) 1/3 (/ 1/6 (sqrt x)) 1/6 (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x))
4.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/16 (* 1/2 (sqrt x)) 1/2 (/ 1/8 (sqrt x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/ 1/2 (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (/ (sqrt x) x) 1/3 (/ 1/6 (sqrt x)) 1/6 (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x))

Time

Variable

Point

Expression

6.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/16 (* 1/2 (sqrt x)) 1/2 (/ 1/8 (sqrt x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/ 1/2 (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (/ (sqrt x) x) 1/3 (/ 1/6 (sqrt x)) 1/6 (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x))

6.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/16 (* 1/2 (sqrt x)) 1/2 (/ 1/8 (sqrt x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/ 1/2 (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (/ (sqrt x) x) 1/3 (/ 1/6 (sqrt x)) 1/6 (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x))

4.0ms

((- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/16 (* 1/2 (sqrt x)) 1/2 (/ 1/8 (sqrt x)) 1/8 (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/ 1/2 (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (/ (sqrt x) x) 1/3 (/ 1/6 (sqrt x)) 1/6 (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (sqrt (+ x 1)) (+ x 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) -1/8 (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x))

rewrite188.0ms (5.6%)

Memory

-10.4MiB live, 229.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	574	5020
0	623	4351
1	4436	3432
0	9881	3262

Stop Event

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

Counts

152 → 552

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))
#s(literal 1/8 binary64)
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) x)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))
#s(literal 1/6 binary64)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) #s(approx (+ ( (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) #s(approx (+ ( (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(literal -1/8 binary64)
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (/ (sqrt x) (pow x 4)))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (* x (sqrt x)))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (/ (pow x 2) (sqrt x))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* (pow x 2) (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))))))) (pow x 4))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ 1/16 (* (pow x 2) (sqrt x)))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* x (- (* 1/2 (sqrt x)) (* 1/8 (/ 1 (sqrt x))))) (* 1/16 (/ 1 (sqrt x)))) (pow x 2))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (/ 1/16 (* x (sqrt x)))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (sqrt x)) (* 1/8 (/ 1 (sqrt x))))) (* 1/16 (/ 1 (sqrt x)))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/2 (* x (sqrt x))) (* 1/16 (/ 1 (sqrt x)))) x)))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ 1/8 (sqrt x)) #s(hole binary64 (/ 1/8 (sqrt x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (* (sqrt x) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (/ (sqrt x) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (* 1/3 (sqrt x)) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (/ (- (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) (* 1/6 (/ 1 (sqrt x)))) x)))
#s(approx (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) #s(hole binary64 (* 1/3 (/ (sqrt x) x))))
#s(approx (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) #s(hole binary64 (/ (+ (* 1/6 (/ x (sqrt x))) (* 1/3 (sqrt x))) x)))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- 1 (pow (sqrt (sqrt x)) 2))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (pow (sqrt (sqrt x)) 2))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (pow (sqrt (sqrt x)) 2))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (pow (sqrt (sqrt x)) 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) #s(hole binary64 (pow (sqrt (sqrt x)) 2)))
#s(approx (sqrt (sqrt x)) #s(hole binary64 (sqrt (sqrt x))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (/ (pow x 3) (sqrt x)))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/2 (* x (sqrt x))) (* 1/16 (/ 1 (sqrt x)))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (- (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) (/ 1/8 (* x (sqrt (/ 1 x))))) x)))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* x (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* x (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x)))))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (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 -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (* 1/6 (/ (sqrt (/ 1 x)) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/24 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))) (+ (* 1/144 (sqrt (/ 1 x))) (+ (* 1/24 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (+ (* -1/72 (sqrt (/ 1 x))) (* 1/2 (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x))))))))))) (pow x 3))) (+ (* 1/3 (sqrt (/ 1 x))) (+ (/ 1/6 (* x (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))) (+ (* -1/72 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/6 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (sqrt (/ 1 x)))) (pow x 2))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* 1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/6 (* x (sqrt (/ 1 x))))) (/ 1/6 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ 1/6 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (/ (sqrt (/ 1 x)) x) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (+ (/ 1/2 (* (pow x 3) (sqrt (/ 1 x)))) (/ (sqrt (/ 1 x)) x)) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))) (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ (sqrt (/ 1 x)) x)) 2))))
#s(approx (sqrt (sqrt x)) #s(hole binary64 (* x (sqrt (/ (sqrt (/ 1 x)) x)))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 2))) (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #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 (- (sqrt (+ x 1)) (sqrt x)) #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) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 1/8 (/ 1 (sqrt (/ 1 x))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (+ (* 5/128 (/ (sqrt (/ 1 x)) x)) (* 1/8 (/ 1 (sqrt (/ 1 x)))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) #s(hole binary64 (- (+ (* -1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x)))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (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 -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1/2 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* x (sqrt (/ 1 x))))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/16 (/ (sqrt (/ 1 x)) x)) (+ (* 1/8 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* 1/2 (/ (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)) (/ 1/8 (* x (pow (sqrt (/ 1 x)) 3)))))) (+ (* -1/2 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (* 1/2 (sqrt (/ 1 x)))) x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (* -1/3 (sqrt (/ 1 x)))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (- (* -1/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) #s(hole binary64 (+ (* -1 (/ (- (* 1/6 (/ 1 (sqrt (/ 1 x)))) (* 1/6 (/ 1 (* x (sqrt (/ 1 x)))))) x)) (* -1/3 (sqrt (/ 1 x))))))
#s(approx (/ 1/6 (sqrt x)) #s(hole binary64 (/ -1/6 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (sqrt (/ 1 x)) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) x)) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2)))))
#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 (* (sqrt (sqrt x)) (sqrt (sqrt x))) #s(hole binary64 (* (pow x 2) (pow (sqrt (* -1 (/ (sqrt (/ 1 x)) x))) 2))))
#s(approx (sqrt (sqrt x)) #s(hole binary64 (* -1 (* x (sqrt (* -1 (/ (sqrt (/ 1 x)) x)))))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* 1/16 (/ (sqrt (/ 1 x)) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (sqrt (/ 1 x))) (* 5/128 (/ (sqrt (/ 1 x)) x))) x)) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) #s(hole binary64 (- (* -1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))))

Outputs
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x))
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(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
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(/.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (sqrt.f64 x) x))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)) (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x)))
(*.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))))
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(.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x))
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(*.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x))
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(.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (sqrt.f64 x) x)))
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(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))
(.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))
(pow.f64 (exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 2 binary64))
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#s(literal -1/8 binary64)
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(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) x)
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#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (+ (* (/ (sqrt x) x) 1/3) (/ 1/6 (sqrt x))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64)))
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#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
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#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
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#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt.f64 x))
#s(approx (sqrt (sqrt x)) (sqrt.f64 (sqrt.f64 x)))
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#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt.f64 x))
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#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1/6 (sqrt x)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) (*.f64 x x))))
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#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) (.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) (fma.f64 (.f64 (pow.f64 x #s(literal -5 binary64)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)))) (.f64 x x)))
#s(approx (sqrt (+ x 1)) (+.f64 (sqrt.f64 x) (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) (*.f64 x x)))
#s(approx (sqrt (sqrt x)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) x))
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#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
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#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) x) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) x) (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 5/128 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x))) x)))
#s(approx (/ (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
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#s(approx (- (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) (/ 1/8 (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
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#s(approx (/ 1 (* (sqrt x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ 1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (neg.f64 (/.f64 (sqrt.f64 x) x)))
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#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))))
#s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x))) x))))
#s(approx (/ 1/6 (sqrt x)) (/.f64 #s(literal -1/6 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) (.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)) x)) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) (.f64 x x)))
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#s(approx (sqrt (+ x 1)) (neg.f64 (+.f64 (sqrt.f64 x) (.f64 x (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))) x)))
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#s(approx (* (sqrt (sqrt x)) (sqrt (sqrt x))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) (*.f64 x x)))
#s(approx (sqrt (sqrt x)) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x))) x)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 5/128 binary64))) x))) x)))
#s(approx (/ (+ (* (/ 1 (* (sqrt x) x)) 1/16) (* 1/2 (sqrt x))) x) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (sqrt.f64 x)))))

eval90.0ms (2.7%)

Memory: 41.9MiB live, 179.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 11 131 to 3 675 computations (67% saved)

prune30.0ms (0.9%)

Memory

-36.6MiB live, 58.9MiB allocated; 11ms collecting garbage

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	749	6	755
Fresh	2	6	8
Picked	3	2	5
Done	0	6	6
Total	754	20	774

Accuracy

100.0%

Counts

774 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	7.4%	(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
	6.4%	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) x))))
✓	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.6%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	6.4%	(.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) x)))))
	96.5%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
	96.6%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
✓	96.8%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓	96.7%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
	96.8%	#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
	98.6%	#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (+.f64 #s(approx (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) x))) x)) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x))))
	98.6%	#s(approx (- (sqrt (+ x 1)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) #s(approx (+ (* (/ 1 (* (sqrt x) x)) -1/8) (+ (* (/ (/ (sqrt x) x) (* (* x x) x)) -5/128) (+ (* (/ (/ (sqrt x) x) (* x x)) 1/16) (/ 1/2 (sqrt x))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))
	98.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
✓	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
✓	98.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
✓	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
✓	7.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))

Compiler

Compiled 826 to 501 computations (39.3% saved)

regimes17.0ms (0.5%)

Memory

32.1MiB live, 32.1MiB allocated; 0ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

9.0ms	x
6.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes17.0ms (0.5%)

Memory

-12.1MiB live, 34.2MiB allocated; 3ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

9.0ms	x
6.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.6%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.4%)

Memory

-23.2MiB live, 23.3MiB allocated; 1ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) x))))

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.1%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes8.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (- x -1) (+ x (sqrt (* (- x -1) x))))) #s(approx (- (+ (* 1/3 (/ (sqrt x) x)) (/ 1/6 (sqrt x))) (/ 1/6 (* (sqrt x) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 x)))))
(fma.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.5%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Accuracy

Total -3.5b remaining (-5.9%)

Threshold costs -3.5b (-5.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.1%	1	`x`
7.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch18.0ms (0.6%)

Memory

-35.1MiB live, 18.5MiB allocated; 15ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	14418980.28073961	208279760.0894303

Samples

6.0ms

96×

valid

Compiler

Compiled 106 to 118 computations (-11.3% saved)

Precisions

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

ival-sqrt: 2.0ms (47.3% of total)

adjust: 1.0ms (23.7% of total)

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

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

derivations222.0ms (6.7%)

Memory

39.7MiB live, 229.1MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 104 to 65 computations (37.5% saved)

preprocess85.0ms (2.6%)

Memory: -9.4MiB live, 164.2MiB allocated; 36ms collecting garbage
Remove: (abs x)
Compiler: Compiled 379 to 305 computations (19.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.3s (38.5%)

preprocess69.0ms (2.1%)

series4.0ms (0.1%)

rewrite140.0ms (4.2%)

eval23.0ms (0.7%)

prune9.0ms (0.3%)

series438.0ms (13.1%)

rewrite200.0ms (6%)

eval57.0ms (1.7%)

prune29.0ms (0.9%)

series27.0ms (0.8%)

rewrite217.0ms (6.5%)

eval104.0ms (3.1%)

prune20.0ms (0.6%)

series19.0ms (0.6%)

rewrite188.0ms (5.6%)

eval90.0ms (2.7%)

prune30.0ms (0.9%)

regimes17.0ms (0.5%)

regimes17.0ms (0.5%)

regimes13.0ms (0.4%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch18.0ms (0.6%)

derivations222.0ms (6.7%)

preprocess85.0ms (2.6%)

end0.0ms (0%)

Profiling