Metrics for 2sqrt (example 3.1)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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)

sample1.1s (35.2%)

Memory

61.6MiB live, 1 252.0MiB allocated; 348ms collecting garbage

Samples

816.0ms	8 132×	1	valid
4.0ms	124×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 589.0ms

ival-sqrt: 286.0ms (48.5% of total)

adjust: 175.0ms (29.7% of total)

ival-sub!: 77.0ms (13.1% of total)

ival-add!: 51.0ms (8.7% of total)

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

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

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

Bogosity

preprocess140.0ms (4.3%)

Memory

-31.4MiB live, 58.5MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	34	23
2	64	23
3	145	23
4	408	23
5	2446	23

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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))

rewrite605.0ms (18.7%)

Memory

-76.3MiB live, 404.7MiB allocated; 737ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	730
0	135	665
1	775	602
0	7852	573

Stop Event

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

Counts

34 → 112

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

eval12.0ms (0.4%)

Memory: -10.9MiB live, 35.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 908 to 411 computations (54.7% saved)

prune8.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Accuracy

99.6%

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	43.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x)))) x))
	43.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 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))
▶	70.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (.f64 x x))) x))
▶	95.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))

Compiler

Compiled 240 to 226 computations (5.8% saved)

series14.0ms (0.4%)

Memory

-18.6MiB live, 33.3MiB allocated; 3ms collecting garbage

Counts

24 → 68

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

Calls

3 calls:

Time	Variable		Point	Expression
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)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) 1/8 (* x 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)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) 1/8 (* x 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)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) 1/8 (* x x))

Time

Variable

Point

Expression

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

rewrite172.0ms (5.3%)

Memory

10.2MiB live, 292.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1915
0	313	1799
1	1621	1594
0	8721	1541

Stop Event

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

Counts

92 → 309

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

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

eval41.0ms (1.3%)

Memory: 11.1MiB live, 110.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 423 to 1 478 computations (66.6% saved)

prune16.0ms (0.5%)

Memory

1.0MiB live, 47.9MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	369	12	381
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	372	16	388

Accuracy

100.0%

Counts

388 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 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))))))))
✓	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	8.7%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)))
✓	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) x))
	95.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
▶	97.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ ( (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
✓	95.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
▶	18.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
▶	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	54.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))))

Compiler

Compiled 370 to 355 computations (4.1% saved)

series12.0ms (0.4%)

Memory

-21.0MiB live, 25.8MiB allocated; 2ms collecting garbage

Counts

26 → 75

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) (/ (sqrt x) x) 1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ (sqrt x) x) x)) (* (/ (sqrt x) x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 (/ (sqrt x) x)) x) (/ 1/2 (/ (sqrt x) x)) (- (sqrt (- x -1)) (/ 1 (/ (sqrt x) x))) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ (sqrt x) x)))
4.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) (/ (sqrt x) x) 1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ (sqrt x) x) x)) (* (/ (sqrt x) x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 (/ (sqrt x) x)) x) (/ 1/2 (/ (sqrt x) x)) (- (sqrt (- x -1)) (/ 1 (/ (sqrt x) x))) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ (sqrt x) x)))
3.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) (/ (sqrt x) x) 1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ (sqrt x) x) x)) (* (/ (sqrt x) x) x) (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 (/ (sqrt x) x)) x) (/ 1/2 (/ (sqrt x) x)) (- (sqrt (- x -1)) (/ 1 (/ (sqrt x) x))) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ (sqrt x) x)))

Time

Variable

Point

Expression

5.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

rewrite137.0ms (4.2%)

Memory

23.7MiB live, 257.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	318	2109
0	350	1905
1	1844	1489
0	8976	1450

Stop Event

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

Counts

101 → 415

Calls

Call 1

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

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

eval73.0ms (2.3%)

Memory: -17.2MiB live, 160.4MiB allocated; 29ms collecting garbage
Compiler: Compiled 4 819 to 1 932 computations (59.9% saved)

prune30.0ms (0.9%)

Memory

-5.6MiB live, 60.5MiB allocated; 17ms collecting garbage

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	494	6	500
Fresh	1	6	7
Picked	4	1	5
Done	1	3	4
Total	500	16	516

Accuracy

100.0%

Counts

516 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 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))))))))
✓	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.7%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)))
✓	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
	95.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
▶	52.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	95.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
▶	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
	96.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
▶	97.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
▶	18.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
▶	7.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))

Compiler

Compiled 353 to 340 computations (3.7% saved)

series24.0ms (0.7%)

Memory

13.4MiB live, 55.3MiB allocated; 12ms collecting garbage

Counts

24 → 58

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (/ (sqrt x) (* x x)) (sqrt x) x (* x x) -1/8 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) (/ (- (sqrt x) 1) x) (- (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ 1 (sqrt x)) x)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (* (* (sqrt x) x) 1/2) (* x x)) (* (* (sqrt x) x) 1/2) (* (sqrt x) x))
3.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (/ (sqrt x) (* x x)) (sqrt x) x (* x x) -1/8 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) (/ (- (sqrt x) 1) x) (- (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ 1 (sqrt x)) x)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (* (* (sqrt x) x) 1/2) (* x x)) (* (* (sqrt x) x) 1/2) (* (sqrt x) x))
3.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (/ (sqrt x) (* x x)) (sqrt x) x (* x x) -1/8 (/ 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) 1 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) (/ (- (sqrt x) 1) x) (- (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ 1 (sqrt x)) x)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (* (* (sqrt x) x) 1/2) (* x x)) (* (* (sqrt x) x) 1/2) (* (sqrt x) x))

Time

Variable

Point

Expression

16.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite170.0ms (5.3%)

Memory

-9.9MiB live, 224.3MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1498
0	277	1366
1	1368	1138
0	9061	1106

Stop Event

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

Counts

82 → 360

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)))) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))) (.f64 (.f64 x x) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64))))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))) (.f64 (.f64 x x) x)) (pow.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 (.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))) (.f64 (.f64 x x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x))))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (sqrt.f64 x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (.f64 (sqrt.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 x x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) (sqrt.f64 x)))
(/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 x) x) (.f64 x (/.f64 #s(literal 1/2 binary64) x))) (/.f64 x (sqrt.f64 x)))
(/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (neg.f64 (/.f64 x (sqrt.f64 x))) (.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 (/.f64 x (sqrt.f64 x)))))
(/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 x x))
(/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 x (sqrt.f64 x))))
(/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (neg.f64 (sqrt.f64 x)) (.f64 x #s(literal -1/2 binary64))) (*.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))) (*.f64 (sqrt.f64 x) x))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) x))) (neg.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x)))) (neg.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (sqrt.f64 x)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) x)) (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) x)) (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (sqrt.f64 x))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) x) (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x))
(-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (.f64 (.f64 x x) (sqrt.f64 x)))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (.f64 (*.f64 x x) (sqrt.f64 x)))))))
(+.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) x) (/.f64 (sqrt.f64 x) x))
(.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (neg.f64 x)) (/.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (/.f64 (sqrt.f64 x) (.f64 x x)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) x) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (.f64 (sqrt.f64 x) x) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 (sqrt.f64 x) x) x))
(.f64 (/.f64 (.f64 (sqrt.f64 x) x) x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (.f64 #s(literal 1/2 binary64) x) x))
(.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) x) x)
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(.f64 (.f64 (sqrt.f64 x) 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))
(.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))
(.f64 (.f64 x x) (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) x)
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))
(*.f64 x (sqrt.f64 x))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (.f64 x x))))
(/.f64 (*.f64 x x) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 x) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -3 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 (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal -1/8 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (sqrt x) (* x x)) (/.f64 (sqrt.f64 x) (*.f64 x x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 1/2 (* (/ 1 (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ (- (sqrt x) 1) x) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ 1/2 (* (/ 1 (sqrt x)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 (sqrt.f64 x) x))
#s(approx (* (* (sqrt x) x) 1/2) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) 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 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.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 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.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 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.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 (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (sqrt x) (* x x)) (/.f64 (sqrt.f64 x) (*.f64 x x)))
#s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (/ (- (sqrt x) 1) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (- (sqrt x) 1) x) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt x) 1) (*.f64 (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x) x))
#s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x))
#s(approx (* (* (sqrt x) x) 1/2) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.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 #s(literal 1/8 binary64) (.f64 x x)) (*.f64 (sqrt.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 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.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 (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (sqrt x) (* x x)) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x x))))
#s(approx (sqrt x) (neg.f64 (/.f64 x (sqrt.f64 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64)) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (sqrt.f64 x)) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) x)) x) x)) (sqrt.f64 x)) x)))
#s(approx (/ (- (sqrt x) 1) x) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (sqrt x) 1) x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt x) 1) (neg.f64 (+.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (* (/ 1 (sqrt x)) x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (* (* (sqrt x) x) 1/2) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (sqrt.f64 x) x)))

eval48.0ms (1.5%)

Memory: -0.6MiB live, 99.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 993 to 1 836 computations (54% saved)

prune18.0ms (0.6%)

Memory

-1.8MiB live, 41.4MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	0	7	7
Picked	0	5	5
Done	0	4	4
Total	406	18	424

Accuracy

100.0%

Counts

424 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	9.1%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 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))))))))
✓	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	10.9%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.7%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)))
✓	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	8.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
	95.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
✓	52.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
	52.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (.f64 (.f64 #s(approx (sqrt x) (/.f64 x (sqrt.f64 x))) x) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	95.9%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
✓	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
	96.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	95.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
✓	97.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
✓	18.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
✓	7.2%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(literal 1 binary64))

Compiler

Compiled 474 to 352 computations (25.7% saved)

regimes14.0ms (0.4%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Counts

28 → 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)) (sqrt x)) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt 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 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) 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)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (.f64 (.f64 #s(approx (sqrt x) (/.f64 x (sqrt.f64 x))) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ ( (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (.f64 x x))) x))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 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))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 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 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 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))

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes28.0ms (0.9%)

Memory

-10.6MiB live, 22.0MiB allocated; 19ms collecting garbage

Counts

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

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

Outputs

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

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

Calls

2 calls:

22.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
5.0ms	x

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.3%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes52.0ms (1.6%)

Memory

1.8MiB live, 41.9MiB allocated; 19ms collecting garbage

Counts

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

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:

47.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
98.3%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.3%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

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

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes41.0ms (1.3%)

Memory

-37.9MiB live, 10.0MiB allocated; 41ms collecting garbage

Accuracy

Total -3.6b remaining (-6.1%)

Threshold costs -3.6b (-6.1%)

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:

39.0ms	x
1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
7.2%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
7.2%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch2.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	17244386.196537945	77551434.60417552

Samples

1.0ms

16×

valid

Compiler

Compiled 46 to 44 computations (4.3% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch6.0ms (0.2%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	888654964108744.6	131048126907316340.0

Samples

3.0ms

48×

valid

Compiler

Compiled 67 to 70 computations (-4.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

adjust: 1.0ms (47.5% of total)

ival-sqrt: 1.0ms (47.5% of total)

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

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

bsearch9.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	17244386.196537945	77551434.60417552

Samples

5.0ms

80×

valid

Compiler

Compiled 130 to 142 computations (-9.2% saved)

Precisions

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

ival-sqrt: 2.0ms (57.8% of total)

adjust: 1.0ms (28.9% of total)

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

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

bsearch17.0ms (0.5%)

Memory

-38.6MiB live, 6.7MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	17244386.196537945	77551434.60417552

Samples

14.0ms

64×

valid

Compiler

Compiled 106 to 118 computations (-11.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 12.0ms (94.2% of total)

adjust: 1.0ms (7.9% of total)

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

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

derivations335.0ms (10.4%)

Memory

19.1MiB live, 155.7MiB allocated; 89ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 70 to 50 computations (28.6% saved)

preprocess48.0ms (1.5%)

Memory: 28.8MiB live, 79.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 89 to 68 computations (23.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.1s (35.2%)

preprocess140.0ms (4.3%)

series4.0ms (0.1%)

rewrite605.0ms (18.7%)

eval12.0ms (0.4%)

prune8.0ms (0.2%)

series14.0ms (0.4%)

rewrite172.0ms (5.3%)

eval41.0ms (1.3%)

prune16.0ms (0.5%)

series12.0ms (0.4%)

rewrite137.0ms (4.2%)

eval73.0ms (2.3%)

prune30.0ms (0.9%)

series24.0ms (0.7%)

rewrite170.0ms (5.3%)

eval48.0ms (1.5%)

prune18.0ms (0.6%)

regimes14.0ms (0.4%)

regimes28.0ms (0.9%)

regimes9.0ms (0.3%)

regimes52.0ms (1.6%)

regimes5.0ms (0.2%)

regimes41.0ms (1.3%)

bsearch2.0ms (0.1%)

bsearch6.0ms (0.2%)

bsearch9.0ms (0.3%)

bsearch17.0ms (0.5%)

derivations335.0ms (10.4%)

preprocess48.0ms (1.5%)

end0.0ms (0%)

Profiling