Metrics for sqrt(1+x)-1

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	1.9%	98.1%	0.0%	0.0%	0.0%	0
100.0%	1.9%	0.0%	98.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample624.0ms (27.5%)

Memory

65.1MiB live, 281.6MiB allocated; 98ms collecting garbage

Samples

191.0ms	5 685×	0	valid
184.0ms	2 571×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-sqrt: 88.0ms (40.9% of total)

ival-add!: 57.0ms (26.5% of total)

adjust: 44.0ms (20.4% of total)

ival-sub!: 26.0ms (12.1% of total)

Bogosity

preprocess98.0ms (4.3%)

Memory

-25.6MiB live, 27.8MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	32	18
2	65	18
3	207	18
4	1141	18

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.9%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series12.0ms (0.5%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	572

Stop Event

1×	iter-limit

Counts

5 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite154.0ms (6.8%)

Memory

-10.4MiB live, 66.3MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	51	15
2	125	15
3	300	15
4	1338	15
0	4237	15

Stop Event

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

Counts

5 → 370

Calls

Call 1

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

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

eval33.0ms (1.4%)

Memory: 31.1MiB live, 31.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 568 to 1 467 computations (73.7% saved)

prune19.0ms (0.8%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	378	13	391
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	378	14	392

Accuracy

99.4%

Counts

392 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.7%	(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
▶	85.4%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
▶	85.3%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	84.6%	(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
▶	84.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
	84.3%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
▶	84.6%	(-.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
	84.9%	(-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	84.9%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	85.0%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	44.9%	#s(approx (- (sqrt (+ 1 x)) 1) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
	47.7%	#s(approx (- (sqrt (+ 1 x)) 1) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
	39.4%	#s(approx (- (sqrt (+ 1 x)) 1) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
▶	33.3%	#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 472 to 289 computations (38.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1
1
(* 1 1)
1/2
2
-2
3
(pow 1 3)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 3 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series34.0ms (1.5%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	580	3863

Stop Event

1×	iter-limit

Counts

28 → 107

Calls

Call 1

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

Outputs
#s(approx x x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ (sqrt (- x -1)) 1) #s(literal 2 binary64))
#s(approx (+ (sqrt (- x -1)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (sqrt (- x -1)) 1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) 1) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx (+ (- x -1) 1) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) x))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -5/64 binary64) x))) #s(literal 1/4 binary64))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) x))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x)))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (*.f64 #s(literal 3/2 binary64) x))
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#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 (+.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))))) (/.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 3 binary64))))))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 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) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (sqrt (- x -1)) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))))))
#s(approx (+ (sqrt (- x -1)) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))))) x))) x))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))))) x)) #s(literal 1 binary64)) x))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 #s(literal -2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 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)))))) x)) #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 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) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 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 5 binary64)))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.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)) (- x -1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (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)))))) x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))) x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (+ (- x -1) (+ (* 1 1) (sqrt (- x -1)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
#s(approx (+ (- x -1) (+ (* 1 1) (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 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (+ (- x -1) (+ (* 1 1) (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 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))) #s(literal 1 binary64)))))
#s(approx (+ (- x -1) (+ (* 1 1) (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 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))))) x))) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (+ (- x -1) (+ (* 1 1) (sqrt (- x -1))))) (/.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (+ (- x -1) (+ (* 1 1) (sqrt (- x -1))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (+ (- x -1) (+ (* 1 1) (sqrt (- x -1))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) x))))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (+ (- x -1) (+ (* 1 1) (sqrt (- x -1))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #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 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) x))))))

Calls

3 calls:

Time	Variable	Point
5.0ms	x	-inf
5.0ms	x	inf
2.0ms	x	0

rewrite224.0ms (9.9%)

Memory

-84.3MiB live, 146.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	164
0	56	139
1	315	124
2	1108	124
0	4245	121

Stop Event

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

Counts

28 → 1 257

Calls

Call 1

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

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

eval97.0ms (4.3%)

Memory: 8.5MiB live, 89.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 31 955 to 4 403 computations (86.2% saved)

prune37.0ms (1.6%)

Memory

-51.9MiB live, 26.9MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 050	14	1 064
Fresh	8	0	8
Picked	5	0	5
Done	-1	2	1
Total	1 062	16	1 078

Accuracy

100.0%

Counts

1 078 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x)))
▶	85.3%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	85.4%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	99.2%	(/.f64 (-.f64 (.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	46.2%	(/.f64 #s(approx (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	99.2%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
▶	45.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)))
▶	33.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
	84.8%	(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	84.9%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) x)
	44.9%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
	47.7%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
	39.4%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
✓	33.3%	#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 556 to 369 computations (33.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1
1
2
1/2
-2

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 7 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series27.0ms (1.2%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	518	3521

Stop Event

1×	iter-limit

Counts

24 → 100

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
3.0ms	x	inf
2.0ms	x	-inf
1.0ms	x	0

rewrite169.0ms (7.4%)

Memory

28.0MiB live, 106.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	169
0	46	167
1	242	157
2	890	157
3	3821	157
0	4021	152

Stop Event

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

Counts

24 → 819

Calls

Call 1

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

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

eval82.0ms (3.6%)

Memory: -6.3MiB live, 75.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 25 333 to 3 214 computations (87.3% saved)

prune38.0ms (1.7%)

Memory

-48.9MiB live, 30.6MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	978	8	986
Fresh	3	6	9
Picked	5	0	5
Done	-3	5	2
Total	983	19	1 002

Accuracy

100.0%

Counts

1 002 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
	85.4%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	99.3%	(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x x))
	46.2%	(/.f64 #s(approx (+ (* (sqrt (- x -1)) (- x -1)) -1) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	99.3%	(/.f64 x (fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) x #s(literal 1 binary64)))
✓	99.2%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
	45.9%	(/.f64 x #s(approx (- (sqrt (- x -1)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
▶	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x)))
✓	33.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
	45.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))))
▶	13.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) #s(approx (/ (+ 2 (* 1/2 x)) x) #s(literal 1/2 binary64))))
▶	84.8%	(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	84.9%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) x)
	44.9%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
▶	47.7%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
	39.4%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
✓	33.3%	#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 520 to 389 computations (25.2% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
-1
1
1/2
-2
1/16
1/8

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series22.0ms (1.0%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	2467

Stop Event

1×	iter-limit

Counts

28 → 96

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
4.0ms	x	-inf
2.0ms	x	inf
1.0ms	x	0

rewrite170.0ms (7.5%)

Memory

38.9MiB live, 117.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	197
0	62	186
1	373	172
2	1344	171
0	4108	158

Stop Event

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

Counts

28 → 888

Calls

Call 1

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

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

eval72.0ms (3.2%)

Memory: -9.0MiB live, 68.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 19 928 to 2 737 computations (86.3% saved)

prune27.0ms (1.2%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	787	4	791
Fresh	2	7	9
Picked	5	0	5
Done	-4	9	5
Total	790	20	810

Accuracy

100.0%

Counts

810 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
	85.4%	(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	99.3%	(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x x))
	99.2%	(/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (*.f64 #s(literal -1 binary64) x)))
✓	99.3%	(/.f64 x (fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) x #s(literal 1 binary64)))
✓	99.2%	(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
	45.9%	(/.f64 x #s(approx (- (sqrt (- x -1)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
✓	99.2%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x)))
✓	33.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
	45.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))))
✓	13.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) #s(approx (/ (+ 2 (* 1/2 x)) x) #s(literal 1/2 binary64))))
✓	84.8%	(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	84.9%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
	99.2%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) x)
	47.8%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) x)))
	47.7%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
	44.9%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
	39.4%	#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (- (* 1/16 x) 1/8) #s(literal -1/8 binary64))))))
✓	33.3%	#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 302 to 225 computations (25.5% saved)

regimes136.0ms (6.0%)

Memory

-58.0MiB live, 105.6MiB allocated; 7ms collecting garbage

Counts

2 → 1

4 → 2

7 → 2

10 → 2

11 → 2

22 → 1

24 → 1

40 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

Outputs

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

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

Call 6

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

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

Call 7

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

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

Call 8

Inputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) #s(approx (/ (+ 2 (* 1/2 x)) x) #s(literal 1/2 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(approx (- (* 1/16 x) 1/8) #s(literal -1/8 binary64))))))
(/.f64 x #s(approx (- (sqrt (- x -1)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) x)
#s(approx (- (sqrt (+ 1 x)) 1) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) (.f64 x x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
(/.f64 x (fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) 1) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
(/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (*.f64 #s(literal -1 binary64) x)))
(/.f64 #s(approx (+ (* (sqrt (- x -1)) (- x -1)) -1) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (* (sqrt (- x -1)) (- x -1)) (pow 1 3)) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x)))
(/.f64 (-.f64 (.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))

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

Calls

32 calls:

13.0ms	(+.f64 #s(literal 1 binary64) x)
8.0ms	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
8.0ms	x
8.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
5.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
33.3%	1	`(+.f64 #s(literal 1 binary64) x)`
33.3%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
33.3%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
33.3%	1	`x`
88.7%	2	`(+.f64 #s(literal 1 binary64) x)`
88.7%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
88.7%	2	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
88.7%	2	`x`
96.1%	2	`(+.f64 #s(literal 1 binary64) x)`
96.1%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
96.1%	2	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
96.1%	2	`x`
96.2%	2	`(+.f64 #s(literal 1 binary64) x)`
96.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
96.2%	2	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
96.2%	2	`x`
96.2%	2	`(+.f64 #s(literal 1 binary64) x)`
96.2%	2	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
96.2%	2	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
96.2%	2	`x`
99.2%	1	`(+.f64 #s(literal 1 binary64) x)`
99.2%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
99.2%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
99.2%	1	`x`
99.3%	1	`(+.f64 #s(literal 1 binary64) x)`
99.3%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
99.3%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
99.3%	1	`x`
99.3%	1	`(+.f64 #s(literal 1 binary64) x)`
99.3%	1	`(sqrt.f64 (+.f64 #s(literal 1 binary64) x))`
99.3%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))`
99.3%	1	`x`

Compiler

Compiled 840 to 297 computations (64.6% saved)

bsearch4.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	9.074953931723039e-6	1.0236714700093737e-5

Samples

1.0ms	13×	1	valid
1.0ms	19×	0	valid

Compiler

Compiled 57 to 55 computations (3.5% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

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

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

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

bsearch1.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.074953931723039e-6	1.0236714700093737e-5

Compiler

Compiled 49 to 45 computations (8.2% saved)

bsearch1.0ms (0.0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.074953931723039e-6	1.0236714700093737e-5

Compiler

Compiled 49 to 45 computations (8.2% saved)

bsearch3.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.28764774895711e-8	1.404341092384207e-8

Samples

1.0ms	13×	1	valid
1.0ms	19×	0	valid

Compiler

Compiled 41 to 39 computations (4.9% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

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

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

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

derivations141.0ms (6.2%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 136 to 54 computations (60.3% saved)

preprocess46.0ms (2.0%)

Memory: 61.5MiB live, 61.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 142 to 59 computations (58.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample624.0ms (27.5%)

preprocess98.0ms (4.3%)

sample0.0ms (0.0%)

series12.0ms (0.5%)

rewrite154.0ms (6.8%)

eval33.0ms (1.4%)

prune19.0ms (0.8%)

sample0.0ms (0.0%)

series34.0ms (1.5%)

rewrite224.0ms (9.9%)

eval97.0ms (4.3%)

prune37.0ms (1.6%)

sample0.0ms (0.0%)

series27.0ms (1.2%)

rewrite169.0ms (7.4%)

eval82.0ms (3.6%)

prune38.0ms (1.7%)

sample0.0ms (0.0%)

series22.0ms (1.0%)

rewrite170.0ms (7.5%)

eval72.0ms (3.2%)

prune27.0ms (1.2%)

regimes136.0ms (6.0%)

bsearch4.0ms (0.2%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

bsearch3.0ms (0.2%)

derivations141.0ms (6.2%)

preprocess46.0ms (2.0%)

end0.0ms (0.0%)

Profiling