Metrics for sqrt times

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample825.0ms (10.4%)

Memory

53.2MiB live, 649.4MiB allocated; 703ms collecting garbage

Samples

601.0ms	8 247×	0	valid
1.0ms	9×	1	valid
0.0ms	10×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-sqrt: 116.0ms (64.5% of total)

ival-mult!: 34.0ms (18.9% of total)

ival-sub!: 28.0ms (15.6% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess106.0ms (1.3%)

Memory

-25.5MiB live, 65.2MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	42	21
2	92	19
3	323	19

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series99.0ms (1.2%)

Memory

-13.3MiB live, 48.3MiB allocated; 90ms collecting garbage

Counts

6 → 26

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite239.0ms (3%)

Memory

23.0MiB live, 160.5MiB allocated; 16ms collecting garbage

Counts

6 → 177

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
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))
(pow.f64 (-.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 x #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(-.f64 x #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) x)
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) x)
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) x)
(fma.f64 (/.f64 #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) x)
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) (+.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (-.f64 x #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (+.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -2 binary64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal -2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #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 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(fabs.f64 x)
(fabs.f64 (neg.f64 x))
(neg.f64 (neg.f64 x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x x))
#s(literal 1 binary64)
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64))
(fabs.f64 #s(literal -1 binary64))
(fabs.f64 #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 (.f64 (cosh.f64 #s(literal 1 binary64)) (cosh.f64 #s(literal 1 binary64))) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 4 binary64))
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 8 binary64))
(/.f64 #s(literal -4 binary64) #s(literal -4 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64)))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1 binary64))
(fabs.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(sqrt.f64 x)

eval31.0ms (0.4%)

Memory: -9.8MiB live, 35.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 2 447 to 805 computations (67.1% saved)

prune5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	4	198

Accuracy

99.8%

Counts

198 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	97.6%	(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
▶	56.7%	(sqrt.f64 (-.f64 (*.f64 x x) x))
▶	53.1%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))

Compiler

Compiled 83 to 52 computations (37.3% saved)

series150.0ms (1.9%)

Memory

-10.8MiB live, 123.3MiB allocated; 24ms collecting garbage

Counts

33 → 68

Calls

Call 1

Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)

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

Calls

3 calls:

Time	Variable	Point
8.0ms	x	0
5.0ms	x	-inf
4.0ms	x	inf

rewrite150.0ms (1.9%)

Memory

24.9MiB live, 78.1MiB allocated; 19ms collecting garbage

Counts

33 → 105

Calls

Call 1

Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)

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

eval29.0ms (0.4%)

Memory: -20.3MiB live, 23.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 7 763 to 1 073 computations (86.2% saved)

prune4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	0	0
Picked	2	1	3
Done	1	0	1
Total	162	4	166

Accuracy

100.0%

Counts

166 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(.f64 #s(approx (sqrt (- x 1)) #s(approx ( x (sqrt (/ 1 x))) (sqrt.f64 x))) (sqrt.f64 x))
✓	56.7%	(sqrt.f64 (-.f64 (*.f64 x x) x))
▶	53.1%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))
▶	99.4%	#s(approx (sqrt (- (* x x) x)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 94 to 55 computations (41.5% saved)

series147.0ms (1.9%)

Memory

16.4MiB live, 61.5MiB allocated; 15ms collecting garbage

Counts

32 → 69

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
8.0ms	x	0
4.0ms	x	-inf
4.0ms	x	inf

rewrite324.0ms (4.1%)

Memory

-21.0MiB live, 215.2MiB allocated; 50ms collecting garbage

Counts

32 → 442

Calls

Call 1

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

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

eval101.0ms (1.3%)

Memory: 26.0MiB live, 89.8MiB allocated; 41ms collecting garbage
Compiler: Compiled 25 548 to 3 766 computations (85.3% saved)

prune15.0ms (0.2%)

Memory

-34.4MiB live, 12.1MiB allocated; 9ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	535	3	538
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	538	4	542

Accuracy

100.0%

Counts

542 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(sqrt.f64 (-.f64 (*.f64 x x) x))
▶	53.3%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) x))
▶	99.4%	#s(approx (sqrt (- (* x x) x)) (-.f64 x #s(literal 1/2 binary64)))
▶	1.1%	#s(approx (sqrt (- (* x x) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Compiler

Compiled 73 to 48 computations (34.2% saved)

series114.0ms (1.4%)

Memory

16.6MiB live, 62.7MiB allocated; 6ms collecting garbage

Counts

24 → 62

Calls

Call 1

Inputs
#s(approx (sqrt (- (* x x) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))
#s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (sqrt (- (* x x) x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/16 binary64)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

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

Calls

3 calls:

Time	Variable	Point
2.0ms	x	0
2.0ms	x	-inf
2.0ms	x	inf

rewrite4.4s (55.7%)

Memory

89.7MiB live, 3 576.7MiB allocated; 887ms collecting garbage

Counts

24 → 4 714

Calls

Call 1

Inputs
#s(approx (sqrt (- (* x x) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))
#s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (sqrt (- (* x x) x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) x (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(literal 1/16 binary64)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 x #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

Outputs
#s(approx (sqrt (- (* x x) x)) #s(approx (+ -1/2 x) #s(literal -1/2 binary64)))
#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (/.f64 #s(literal -1/2 binary64) x))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 (*.f64 x x)))
(.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 x #s(literal 1/2 binary64)) x))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -1 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (*.f64 x x))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 x x))) (*.f64 x x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (.f64 x x))
(/.f64 (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (*.f64 x x))
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (.f64 (*.f64 x x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 x x) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x x) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 #s(literal 1/2 binary64))
#s(approx (sqrt (- (* x x) x)) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))
(*.f64 x (/.f64 (-.f64 x #s(literal 1/2 binary64)) x))
(*.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(-.f64 x #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) x) x)
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(fma.f64 #s(literal 2 binary64) #s(literal -1 binary64) #s(literal -2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal -1 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) x)
(.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 x x) (*.f64 x x))) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x)) x)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (*.f64 x x)))
(.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) x)) (neg.f64 x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))) (neg.f64 x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 x x)) (.f64 x x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (neg.f64 x)) (neg.f64 x))
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (.f64 x #s(literal -1/2 binary64)) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 (.f64 (*.f64 x x) x)))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) (neg.f64 (.f64 x x))) (.f64 (.f64 x x) (neg.f64 (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) x) (.f64 (.f64 x x) (.f64 (*.f64 x x) x)))
(/.f64 (.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (.f64 (.f64 x x) x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 x x))) (neg.f64 (.f64 (.f64 x x) (*.f64 x x))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (neg.f64 (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 x (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (.f64 (.f64 x x) x) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (.f64 x x))) (neg.f64 (.f64 (.f64 x x) x)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (.f64 x #s(literal 1/2 binary64)) x)) (neg.f64 (.f64 (*.f64 x x) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))

eval1.1s (13.6%)

Memory: 34.5MiB live, 1 009.8MiB allocated; 441ms collecting garbage
Compiler: Compiled 235 160 to 30 516 computations (87% saved)

prune56.0ms (0.7%)

Memory

-38.3MiB live, 107.5MiB allocated; 13ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	4 292	1	4 293
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	4 293	4	4 297

Accuracy

100.0%

Counts

4 297 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.7%	(sqrt.f64 (-.f64 (*.f64 x x) x))
	99.9%	#s(approx (* (sqrt (- x 1)) (sqrt x)) (+.f64 x (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) x)) x)) x) x)))
✓	99.4%	#s(approx (sqrt (- (* x x) x)) (-.f64 x #s(literal 1/2 binary64)))
✓	1.1%	#s(approx (sqrt (- (* x x) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Compiler

Compiled 57 to 41 computations (28.1% saved)

regimes20.0ms (0.2%)

Memory

5.1MiB live, 51.4MiB allocated; 4ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

7 → 1

11 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Calls

6 calls:

5.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	x
2.0ms	x
1.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
1.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.1%	1	`x`
99.4%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.4%	1	`x`
99.9%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.9%	1	`x`

Compiler

Compiled 285 to 117 computations (58.9% saved)

derivations1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 51 to 30 computations (41.2% saved)

preprocess25.0ms (0.3%)

Memory: 4.9MiB live, 98.0MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 160 to 110 computations (31.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample825.0ms (10.4%)

preprocess106.0ms (1.3%)

series99.0ms (1.2%)

rewrite239.0ms (3%)

eval31.0ms (0.4%)

prune5.0ms (0.1%)

series150.0ms (1.9%)

rewrite150.0ms (1.9%)

eval29.0ms (0.4%)

prune4.0ms (0.1%)

series147.0ms (1.9%)

rewrite324.0ms (4.1%)

eval101.0ms (1.3%)

prune15.0ms (0.2%)

series114.0ms (1.4%)

rewrite4.4s (55.7%)

eval1.1s (13.6%)

prune56.0ms (0.7%)

regimes20.0ms (0.2%)

derivations1.0ms (0%)

preprocess25.0ms (0.3%)

end0.0ms (0%)

Profiling