Metrics for bug333 (missed optimization)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	50.0%	50.0%	0.0%	0.0%	0.0%	0
100.0%	50.0%	0.0%	50.0%	0.0%	0.0%	0.0%	1

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.8s (55.7%)

Memory

-6.7MiB live, 2 260.1MiB allocated; 1.0s collecting garbage

Samples

941.0ms	3 464×	2	valid
509.0ms	4 646×	1	valid
5.0ms	146×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sqrt: 749.0ms (61.5% of total)

adjust: 257.0ms (21.1% of total)

ival-sub!: 143.0ms (11.7% of total)

ival-add!: 68.0ms (5.6% of total)

Bogosity

preprocess35.0ms (1.1%)

Memory

-6.5MiB live, 38.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	47	27
2	81	27
3	199	27
4	799	27

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Symmetry

(negabs x)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series19.0ms (0.6%)

Memory

-2.3MiB live, 43.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1209

Stop Event

1×	iter-limit

Counts

7 → 41

Calls

Call 1

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

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 (- 1 x) (+.f64 #s(literal 1 binary64) (*.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 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 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 (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#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)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (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 1/8 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 (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 1/8 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)) (sqrt (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/8 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 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 1/8 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 (- 1 x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#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)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (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 1/8 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 (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 1/8 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)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/8 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 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 1/8 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))))))))))))

Calls

3 calls:

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

sample1.0ms (0.0%)

Memory

2.9MiB live, 2.9MiB 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)

rewrite147.0ms (4.6%)

Memory

-10.4MiB live, 137.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	25
1	69	25
2	174	25
3	429	25
4	1564	25
0	4281	25

Stop Event

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

Counts

7 → 519

Calls

Call 1

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

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

eval67.0ms (2.1%)

Memory: -8.1MiB live, 133.1MiB allocated; 18ms collecting garbage
Compiler: Compiled 9 711 to 2 203 computations (77.3% saved)

prune22.0ms (0.7%)

Memory

-2.5MiB live, 42.7MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	541	13	554
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	541	14	555

Accuracy

100.0%

Counts

555 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
	8.2%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.0%	(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	5.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))))
	8.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	8.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.3%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
▶	7.7%	(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	6.1%	(-.f64 (sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	7.0%	(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.2%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	8.2%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	99.7%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	99.5%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))

Compiler

Compiled 423 to 303 computations (28.4% saved)

series46.0ms (1.4%)

Memory

1.8MiB live, 100.1MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	4835

Stop Event

1×	iter-limit

Counts

36 → 122

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/8 binary64)
#s(literal 7/128 binary64)
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 x) #s(literal 1 binary64))
(sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 x #s(literal -1 binary64))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx x x)
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 7/128 (pow x 2)) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/8 (* 7/128 (pow x 2))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* 7/128 (pow x 2))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 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 (- 1 x) (+.f64 #s(literal 1 binary64) (*.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 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ -1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (/ -1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (* 2 (- 1 x)) #s(literal 2 binary64))
#s(approx (* 2 (- 1 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (* 2 (- 1 x))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* 2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (.f64 x (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))))) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -21/512 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/64 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ 1/8 (* 7/128 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (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 1/8 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 (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 1/8 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)) (sqrt (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/8 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 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 1/8 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 (+ 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 (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#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 (- 1 (/ -1 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* 2 (- 1 x)) (*.f64 #s(literal -2 binary64) x))
#s(approx (* 2 (- 1 x)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (- 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 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))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
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#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
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#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)))))))))
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#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)))))))))
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#s(approx (sqrt (* 2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) (sqrt 1/2)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (.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))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (fma.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 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (fma.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 #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 -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))

Calls

3 calls:

Time	Variable	Point
9.0ms	x	-inf
7.0ms	x	inf
3.0ms	x	0

sample2.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1
2
1/8
7/128
-1
1/2
(sqrt 1/2)

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/8 binary64)
#s(literal 7/128 binary64)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 9 computations (10.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

rewrite198.0ms (6.2%)

Memory

7.9MiB live, 332.8MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	234
0	69	220
1	368	212
2	1291	208
0	4056	194

Stop Event

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

Counts

36 → 1 121

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/8 binary64)
#s(literal 7/128 binary64)
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 x) #s(literal 1 binary64))
(sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 x #s(literal -1 binary64))
(-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

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

eval127.0ms (4.0%)

Memory: 29.2MiB live, 214.3MiB allocated; 21ms collecting garbage
Compiler: Compiled 31 258 to 4 653 computations (85.1% saved)

prune26.0ms (0.8%)

Memory

-17.4MiB live, 34.0MiB allocated; 10ms collecting garbage

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 122	3	1 125
Fresh	7	1	8
Picked	5	0	5
Done	-1	2	1
Total	1 133	6	1 139

Accuracy

100.0%

Counts

1 139 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	8.2%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	5.1%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64)))
✓	8.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.7%	(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))

Compiler

Compiled 96 to 73 computations (24.0% saved)

series37.0ms (1.2%)

Memory

12.2MiB live, 58.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	626	5183

Stop Event

1×	iter-limit

Counts

24 → 125

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))
(.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
#s(literal 6369051672525773/9007199254740992 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64)))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx x x)
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 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 (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (* 2 (- 1 x)) #s(literal 2 binary64))
#s(approx (* 2 (- 1 x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (* 2 (- 1 x))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (* 2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* 2 (- 1 x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -6369051672525773/18014398509481984 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/8 binary64))))))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) #s(literal 1/8 binary64))))))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#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 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -21/512 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/64 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (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 1/8 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 (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 1/8 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)) (sqrt (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/8 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 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 1/8 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 (+ 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 (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* 2 (- 1 x)) (*.f64 #s(literal -2 binary64) x))
#s(approx (* 2 (- 1 x)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (- 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 x (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.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))))) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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 -1) (sqrt (- x -1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 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)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.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 (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.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))))) (+.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 (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.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))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (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 1/8 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 (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 1/8 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)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/8 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 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 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 1/8 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 (- 1 x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 2 (- 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (* 2 (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.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))))) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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)) (* (sqrt (* 2 (- 1 x))) 6369051672525773/9007199254740992)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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 -1) (sqrt (- x -1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x -1) (sqrt (- 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 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)))))
#s(approx (/ (- x -1) (sqrt (- x -1))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.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 1/2 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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (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 (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (/ (- x -1) (sqrt (- x -1))) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.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))) (fma.f64 #s(literal 1/2 binary64) (/.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 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)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt (- 1 x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (fma.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 #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 -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (- (- x -1) (- 1 x)) (+ (sqrt (- x -1)) (sqrt (- 1 x)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))

Calls

3 calls:

Time	Variable	Point
6.0ms	x	inf
3.0ms	x	-inf
2.0ms	x	0

sample1.0ms (0.0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
2
6369051672525773/9007199254740992
-1

Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal -1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

rewrite145.0ms (4.6%)

Memory

0.3MiB live, 186.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	182
0	54	178
1	306	174
2	1046	166
3	3812	166
0	4012	159

Stop Event

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

Counts

24 → 699

Calls

Call 1

Inputs
x
#s(literal 1 binary64)
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))
(.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
#s(literal 6369051672525773/9007199254740992 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64)))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))

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

eval122.0ms (3.9%)

Memory: -25.7MiB live, 139.5MiB allocated; 85ms collecting garbage
Compiler: Compiled 20 622 to 2 773 computations (86.6% saved)

prune14.0ms (0.4%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	743	2	745
Fresh	0	0	0
Picked	4	0	4
Done	-1	3	2
Total	746	5	751

Accuracy

100.0%

Counts

751 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(fma.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	7.7%	(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))

Compiler

Compiled 74 to 56 computations (24.3% saved)

series24.0ms (0.8%)

Memory

-5.6MiB live, 44.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	453	3441

Stop Event

1×	iter-limit

Counts

15 → 82

Calls

Call 1

Inputs
x
(+.f64 x x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal -6369051672525773/9007199254740992 binary64)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Outputs
#s(approx x x)
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.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 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 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 (- 1 x)) (sqrt (- x -1))) #s(literal 2 binary64))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -21/512 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/64 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- 2 (+ x x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (- 2 (+ x x))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- 2 (+ x x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (- 2 (+ x x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (- 2 (+ x x))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (-.f64 (*.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1/8 binary64)))))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 6369051672525773/9007199254740992 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 #s(literal 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))) #s(literal 1/8 binary64)))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#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 (- 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 (- 1 x)) (sqrt (- x -1))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (fma.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 #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 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))))))))
#s(approx (- 2 (+ x x)) (*.f64 #s(literal -2 binary64) x))
#s(approx (- 2 (+ x x)) (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (sqrt (- 2 (+ x x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 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 6369051672525773/9007199254740992 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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 (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))) (+.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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 (- 1 x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#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 (- 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 (- 1 x)) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ (sqrt (- 1 x)) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (fma.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 #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 x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ (+ x x) (+ (sqrt (- 1 x)) (sqrt (- x -1)))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (- 2 (+ x x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 2 (+ x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 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 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))))))
#s(approx (+ (* (sqrt (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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 (- 2 (+ x x))) -6369051672525773/9007199254740992) (sqrt (- x -1))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 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 6369051672525773/18014398509481984 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))))))) (+.f64 (/.f64 #s(literal 6369051672525773/18014398509481984 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 6369051672525773/9007199254740992 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 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)))))))))))

Calls

3 calls:

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

sample1.0ms (0.0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
-1
2
-6369051672525773/9007199254740992

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal -6369051672525773/9007199254740992 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

rewrite157.0ms (5.0%)

Memory

-17.9MiB live, 210.7MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	26	67
1	148	67
2	456	67
3	1511	67
0	4223	64

Stop Event

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

Counts

15 → 691

Calls

Call 1

Inputs
x
(+.f64 x x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(literal 2 binary64)
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)))
#s(literal -6369051672525773/9007199254740992 binary64)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

Outputs
x
(*.f64 (/.f64 (+.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(.f64 #s(literal 2 binary64) (.f64 x #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (+.f64 x x))
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(+.f64 (/.f64 (.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
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(+.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) x) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 x)) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) x) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) x) (.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
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(+.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (+.f64 x x) #s(literal 0 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
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#s(literal 2 binary64)
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal -2 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 2 binary64) x))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 0 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (-.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)))
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(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64)) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64)) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64)) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) (-.f64 x #s(literal -1 binary64))) (+.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) (-.f64 x #s(literal -1 binary64))) (-.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(neg.f64 (-.f64 (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal -6369051672525773/9007199254740992 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))

eval121.0ms (3.8%)

Memory: 21.7MiB live, 166.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 25 792 to 3 162 computations (87.7% saved)

prune17.0ms (0.5%)

Memory

-14.2MiB live, 31.4MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	914	2	916
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	916	5	921

Accuracy

100.0%

Counts

921 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.1%	(fma.f64 (sqrt.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
✓	100.0%	(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	8.2%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	100.0%	(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
✓	98.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))

Compiler

Compiled 73 to 57 computations (21.9% saved)

regimes21.0ms (0.7%)

Memory

-12.2MiB live, 34.4MiB allocated; 2ms collecting garbage

Counts

7 → 1

21 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))
(-.f64 (sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64)))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))

Call 2

Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x #s(approx (+ 1 ( (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))))
(-.f64 (sqrt.f64 #s(approx (+ 1 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -6369051672525773/9007199254740992 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 6369051672525773/9007199254740992 binary64)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- (- x -1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))

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

Calls

4 calls:

6.0ms	x
4.0ms	x
4.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
2.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
98.9%	1	`x`
100.0%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`x`

Compiler

Compiled 346 to 122 computations (64.7% saved)

derivations40.0ms (1.3%)

Memory

-11.8MiB live, 42.5MiB allocated; 4ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 27 computations (32.5% saved)

preprocess18.0ms (0.6%)

Memory: 5.1MiB live, 47.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 129 to 92 computations (28.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample1.8s (55.7%)

preprocess35.0ms (1.1%)

series19.0ms (0.6%)

sample1.0ms (0.0%)

rewrite147.0ms (4.6%)

eval67.0ms (2.1%)

prune22.0ms (0.7%)

series46.0ms (1.4%)

sample2.0ms (0.0%)

rewrite198.0ms (6.2%)

eval127.0ms (4.0%)

prune26.0ms (0.8%)

series37.0ms (1.2%)

sample1.0ms (0.0%)

rewrite145.0ms (4.6%)

eval122.0ms (3.9%)

prune14.0ms (0.4%)

series24.0ms (0.8%)

sample1.0ms (0.0%)

rewrite157.0ms (5.0%)

eval121.0ms (3.8%)

prune17.0ms (0.5%)

regimes21.0ms (0.7%)

derivations40.0ms (1.3%)

preprocess18.0ms (0.6%)

end0.0ms (0.0%)

Profiling