Metrics for bug333 (missed optimization)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	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)

sample1.2s (51.0%)

Memory

18.1MiB live, 345.8MiB allocated; 33ms collecting garbage

Samples

489.0ms	3 411×	2	valid
430.0ms	4 719×	1	valid
5.0ms	126×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 696.0ms

ival-sqrt: 303.0ms (43.5% of total, 55.7 MiB)

adjust: 236.0ms (33.9% of total, 27.0 MiB)

ival-sub!: 96.0ms (13.8% of total, 21.4 MiB)

ival-add!: 61.0ms (8.8% of total, 11.1 MiB)

Bogosity

preprocess31.0ms (1.4%)

Memory

-0.5MiB live, 7.0MiB allocated; 0ms 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
▶	8.4%	(-.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)

series18.0ms (0.8%)

Memory

0.7MiB live, 10.5MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	1212

Stop Event

1×	iter-limit

Counts

7 → 42

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 1 #s(literal 0 binary64))
#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	0
1.0ms	x	-inf

rewrite121.0ms (5.2%)

Memory

-22.0MiB live, 42.4MiB allocated; 6ms 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 → 499

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

eval43.0ms (1.8%)

Memory: 3.0MiB live, 40.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 292 to 2 093 computations (77.5% saved)

prune13.0ms (0.6%)

Memory

-2.5MiB live, 15.4MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	519	16	535
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	519	17	536

Accuracy

100.0%

Counts

536 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(/.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))))
▶	8.5%	(/.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))))))
	8.4%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.6%	(-.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.4%	(-.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	5.5%	(-.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))))
✓	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x))))
	8.5%	(-.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))))))
	7.5%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
	8.1%	(-.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	7.5%	(-.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)))
	8.4%	(*.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))))
▶	99.9%	#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))))))))))
	99.8%	#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))))))))
	99.6%	#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 487 to 165 computations (66.1% saved)

series53.0ms (2.3%)

Memory

2.9MiB live, 32.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	967	7930

Stop Event

1×	iter-limit

Counts

41 → 192

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

Outputs
#s(approx 1 #s(literal 0 binary64))
#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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 33/1024 (pow x 2)) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 7/128 (* 33/1024 (pow x 2))) #s(literal 7/128 binary64))
#s(approx (+ 7/128 (* 33/1024 (pow x 2))) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) (.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 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) (+.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 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (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 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) (.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 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (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 (* (pow x 2) (+ 7/128 (* 33/1024 (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 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) (+.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 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (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 (* (pow x 2) (+ 7/128 (* 33/1024 (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 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (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 (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 (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x)))))))
#s(approx (* 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 (- 1 x)) (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) x)))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) x) #s(literal 3/2 binary64)))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) x))) #s(literal 3/2 binary64)))))
#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)) (+.f64 (.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)) (+.f64 (.f64 x (+.f64 (.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)) (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (+.f64 (.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 (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (*.f64 #s(literal 3 binary64) x))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -3/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -9/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (* (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (- x -1)) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x)))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x)))) (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x)))) (+.f64 #s(literal 2 binary64) (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x))))) #s(literal 3 binary64))
#s(approx (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x))))) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x))))) (+.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x))))) (+.f64 #s(literal 3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 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 (+ 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 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 7/128 (* 33/1024 (pow x 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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)))))
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#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x)))))) (-.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 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x)))))) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 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))))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (- x -1) (+ (- 1 x) (* (sqrt (- x -1)) (sqrt (- 1 x)))))) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 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))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.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)))))) x))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 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))))) (+.f64 (.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 binary64) (/.f64 (+.f64 (.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)))))) (+.f64 (.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)))))) (+.f64 (.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))))) (+.f64 (.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))))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (+.f64 (.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 (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (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)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x))))))
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.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))))))

Calls

3 calls:

Time	Variable	Point
7.0ms	x	inf
4.0ms	x	-inf
3.0ms	x	0

rewrite150.0ms (6.5%)

Memory

-0.0MiB live, 64.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	353
0	78	343
1	428	309
2	1776	289
0	4108	289

Stop Event

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

Counts

41 → 725

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

Outputs
#s(literal 1 binary64)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x x) x) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (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)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
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eval83.0ms (3.6%)

Memory: 10.5MiB live, 83.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 41 084 to 4 742 computations (88.5% saved)

prune25.0ms (1.1%)

Memory

-0.7MiB live, 26.0MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 038	10	1 048
Fresh	7	4	11
Picked	4	1	5
Done	0	1	1
Total	1 049	16	1 065

Accuracy

100.0%

Counts

1 065 → 16

Alt Table

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Status	Accuracy	Program
	8.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
▶	8.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.4%	(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.4%	(-.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	7.5%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
✓	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x))))
	7.5%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
	0.0%	(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(approx 1 #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(approx 1 #s(literal 0 binary64)) x)))
✓	7.5%	(-.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)))
	7.6%	(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(approx (- 1 x) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
▶	7.9%	(-.f64 #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 #s(literal -1/2 binary64) x))))
	99.0%	(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
▶	2.3%	#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)))))
▶	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal -7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x)))))

Compiler

Compiled 435 to 150 computations (65.5% saved)

series30.0ms (1.3%)

Memory

-3.4MiB live, 19.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	4321

Stop Event

1×	iter-limit

Counts

40 → 133

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

Outputs
#s(approx 1 #s(literal 0 binary64))
#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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (* x x) (pow.f64 x #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 x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* 33/1024 (* x x)) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64))
#s(approx (- (* 33/1024 (* x x)) -7/128) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (*.f64 #s(literal 7/128 binary64) x))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (.f64 x (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (.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 (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) (+.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 (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 (pow.f64 x #s(literal 3 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 (+ (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) 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 (+ (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) 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 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 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 (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (* -1/2 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#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))))) (+.f64 (.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)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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)))))) (+.f64 (.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)) (+.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)))))) (+.f64 (.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))))) (+.f64 (.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))))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (+.f64 (.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 (- (* 33/1024 (* x x)) -7/128) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.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 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (sqrt.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 x))) (- 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.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))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))
#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) (sqrt (- 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (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 (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 x (+.f64 (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)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (/.f64 #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)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (.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 (+ 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 (+ 1 (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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))))) (+.f64 (.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 binary64) (/.f64 (+.f64 (.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)))))) (+.f64 (.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)))))) (+.f64 (.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))))) (+.f64 (.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))))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (+.f64 (.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 (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 7/128 binary64) (.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 33/1024 binary64)))))
#s(approx (+ (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) x) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 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 4 binary64)))) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) (- 1 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (- (sqrt (- 1 (* x x))) (- 1 x)) (sqrt (- 1 x))) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 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 (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 (/ (- 1 x) (sqrt (- 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.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 (/ (- 1 x) (sqrt (- 1 x))) (+.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 (/ (- 1 x) (sqrt (- 1 x))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.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)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (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)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x))))))
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.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))))))

Calls

3 calls:

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

rewrite133.0ms (5.8%)

Memory

0.6MiB live, 55.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	310
0	81	276
1	404	274
2	1467	274
0	4062	274

Stop Event

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

Counts

40 → 569

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

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

eval63.0ms (2.7%)

Memory: 5.5MiB live, 60.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 20 537 to 3 461 computations (83.1% saved)

prune14.0ms (0.6%)

Memory

-5.7MiB live, 17.8MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	748	5	753
Fresh	8	1	9
Picked	4	1	5
Done	1	1	2
Total	761	8	769

Accuracy

100.0%

Counts

769 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
▶	99.0%	(/.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	5.3%	#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
✓	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal -7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
▶	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
▶	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))
▶	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x)))))

Compiler

Compiled 206 to 82 computations (60.2% saved)

series26.0ms (1.1%)

Memory

0.8MiB live, 17.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	549	4019

Stop Event

1×	iter-limit

Counts

39 → 122

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 0 binary64)
#s(literal -1/8 binary64)
#s(literal 1/8 binary64)
#s(literal 7/128 binary64)
#s(literal 33/1024 binary64)
(*.f64 x x)
(.f64 (.f64 x x) x)
(.f64 #s(literal 33/1024 binary64) (.f64 x x))
#s(literal -7/128 binary64)
(-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64))
(.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal -7/128 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x)
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x)))))
#s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
(+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x)
(.f64 (.f64 #s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x)
(-.f64 (.f64 (.f64 #s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
(.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))

Outputs
#s(approx 1 #s(literal 0 binary64))
#s(approx x 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 x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* 33/1024 (* x x)) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64))
#s(approx (- (* 33/1024 (* x x)) -7/128) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (*.f64 #s(literal 7/128 binary64) x))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (.f64 x (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (.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 (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* x x) 1/8) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* (* x x) 1/8)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x 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 x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x 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 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/16 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x 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 (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x 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 (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) (+.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 (- (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 (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (* (* x x) x) (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8)) (.f64 (pow.f64 x #s(literal 3 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 (- 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 (- (* 33/1024 (* x x)) -7/128) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* 33/1024 (* x x)) -7/128) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (* x x) 1/8)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x))) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (- 1 (* x x)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 (* x x))) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.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 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 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 (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 33/1024 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#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))))) (+.f64 (.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)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.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)))))) (+.f64 (.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)) (+.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)))))) (+.f64 (.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))))) (+.f64 (.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))))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (+.f64 (.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 (- 1 (* x x))) 1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (+.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 #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (sqrt.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 x))) 1) x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.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))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))
#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)))))))))
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#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 x))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (- 1 (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
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#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (- 1 (* x x))) 1) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 7/128 binary64) (.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 33/1024 binary64)))))
#s(approx (* x (+ (+ 1 (* (* x x) 1/8)) (* (* (* (- (* 33/1024 (* x x)) -7/128) x) x) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 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 4 binary64)))) (+.f64 #s(literal 33/1024 binary64) (.f64 #s(literal 7/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 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)) (* (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))))) (+.f64 (.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 binary64) (/.f64 (+.f64 (.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)))))) (+.f64 (.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)))))) (+.f64 (.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))))) (+.f64 (.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))))) (+.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (+.f64 (.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 (- 1 (* x x))) 1) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (+ (- (sqrt (- 1 (* x x))) 1) x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (+ (- (sqrt (- 1 (* x x))) 1) x) (sqrt (- 1 x))) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #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))))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))

Calls

3 calls:

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

rewrite153.0ms (6.6%)

Memory

-6.1MiB live, 63.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	442
0	84	407
1	402	399
2	1445	397
0	4097	397

Stop Event

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

Counts

39 → 655

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
#s(literal 0 binary64)
#s(literal -1/8 binary64)
#s(literal 1/8 binary64)
#s(literal 7/128 binary64)
#s(literal 33/1024 binary64)
(*.f64 x x)
(.f64 (.f64 x x) x)
(.f64 #s(literal 33/1024 binary64) (.f64 x x))
#s(literal -7/128 binary64)
(-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64))
(.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal -7/128 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x)
(.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x)))))
#s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64))
#s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
(+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)
(/.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x)
(.f64 (.f64 #s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x)
(-.f64 (.f64 (.f64 #s(approx (- (* 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))
(.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
(.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))

Outputs
#s(literal 1 binary64)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (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)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.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 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) x)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (neg.f64 (.f64 (.f64 x x) x))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(*.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))))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (neg.f64 (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 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
#s(literal -1/8 binary64)
#s(literal 1/8 binary64)
#s(literal 7/128 binary64)
#s(literal 33/1024 binary64)
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 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 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.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 (fabs.f64 x) (fabs.f64 x))
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(-.f64 (.f64 (.f64 #s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 (neg.f64 (neg.f64 x))))
(-.f64 (.f64 (.f64 #s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 x))
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(-.f64 x (.f64 (.f64 (neg.f64 x) x) (.f64 #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)) x)))
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(+.f64 (.f64 (.f64 #s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)
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#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 #s(approx (- (* (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))

eval68.0ms (3.0%)

Memory: 8.8MiB live, 69.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 25 145 to 4 076 computations (83.8% saved)

prune13.0ms (0.6%)

Memory

-1.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	852	0	852
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	852	8	860

Accuracy

100.0%

Counts

860 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
✓	99.0%	(/.f64 (+.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	8.4%	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	5.3%	#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
✓	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal -7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
✓	99.8%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
✓	99.6%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))
✓	99.9%	#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x x)))))

Compiler

Compiled 118 to 44 computations (62.7% saved)

regimes35.0ms (1.5%)

Memory

0.8MiB live, 25.9MiB allocated; 1ms collecting garbage

Counts

1 → 1

8 → 1

15 → 1

32 → 1

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))

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

Call 2

Inputs
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))
(-.f64 #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 #s(literal -1/2 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)))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(approx 1 #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(approx 1 #s(literal 0 binary64)) x)))
(-.f64 (sqrt.f64 (+.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)) (* (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)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))

Call 3

Inputs
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))
(-.f64 #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 #s(literal -1/2 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)))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(approx 1 #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(approx 1 #s(literal 0 binary64)) x)))
(-.f64 (sqrt.f64 (+.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)) (* (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)))))
(-.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 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x))))
(-.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(approx (- 1 x) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (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)))

Outputs

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

Call 4

Inputs
#s(approx (- (sqrt (+ 1 x)) (* (sqrt (* 2 (- 1 x))) (sqrt 1/2))) #s(literal 0 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) #s(approx (- ( (* (- (* 33/1024 (* x x)) -7/128) x) x) -1/8) #s(literal 1/8 binary64))) x))
(-.f64 #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 #s(literal -1/2 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)))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(approx 1 #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (-.f64 #s(approx 1 #s(literal 0 binary64)) x)))
(-.f64 (sqrt.f64 (+.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)) (* (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)))))
(-.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 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 #s(approx (- ( 33/1024 (* x x)) -7/128) #s(literal 7/128 binary64)) x) x) #s(literal -1/8 binary64))) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x))))
(-.f64 (sqrt.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))))
(-.f64 #s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(approx (- 1 x) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (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)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (*.f64 x x)) #s(literal -7/128 binary64)) x) x) #s(literal -1/8 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 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 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))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 33/1024 binary64) (.f64 x x)) #s(literal -7/128 binary64)) x) x) (*.f64 x 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 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (-.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))))))
#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))))))))))

Outputs

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

Calls

8 calls:

8.0ms	x
6.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
4.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
3.0ms	x

Results

Accuracy	Segments	Branch
5.3%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
5.3%	1	`x`
99.6%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.6%	1	`x`
99.8%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`x`
99.9%	1	`(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
99.9%	1	`x`

Compiler

Compiled 512 to 167 computations (67.4% saved)

derivations37.0ms (1.6%)

Memory

-4.8MiB live, 3.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 46 to 23 computations (50.0% saved)

preprocess22.0ms (1.0%)

Memory: -1.8MiB live, 25.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 147 to 90 computations (38.8% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample1.2s (51.0%)

preprocess31.0ms (1.4%)

series18.0ms (0.8%)

rewrite121.0ms (5.2%)

eval43.0ms (1.8%)

prune13.0ms (0.6%)

series53.0ms (2.3%)

rewrite150.0ms (6.5%)

eval83.0ms (3.6%)

prune25.0ms (1.1%)

series30.0ms (1.3%)

rewrite133.0ms (5.8%)

eval63.0ms (2.7%)

prune14.0ms (0.6%)

series26.0ms (1.1%)

rewrite153.0ms (6.6%)

eval68.0ms (3.0%)

prune13.0ms (0.6%)

regimes35.0ms (1.5%)

derivations37.0ms (1.6%)

preprocess22.0ms (1.0%)

end0.0ms (0.0%)

Profiling