Metrics for arccos

start0.0ms (0%)

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

analyze5.0ms (0.3%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
33.3%	25%	50%	0%	0%	25%	0%	4
60%	37.5%	25%	0%	0%	37.5%	0%	5
77.8%	43.7%	12.5%	0%	0%	43.7%	0%	6
88.2%	46.9%	6.2%	0%	0%	46.9%	0%	7
93.9%	48.4%	3.1%	0%	0%	48.4%	0%	8
96.9%	49.2%	1.6%	0%	0%	49.2%	0%	9
98.4%	49.6%	0.8%	0%	0%	49.6%	0%	10
99.2%	49.8%	0.4%	0%	0%	49.8%	0%	11
99.6%	49.9%	0.2%	0%	0%	49.9%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample902.0ms (51.5%)

Memory

14.9MiB live, 1 194.7MiB allocated; 237ms collecting garbage

Samples

668.0ms	8 256×	0	valid
1.0ms	21×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-sqrt: 135.0ms (31.7% of total)

ival-mult!: 96.0ms (22.6% of total)

ival-atan: 70.0ms (16.4% of total)

ival-sub!: 49.0ms (11.5% of total)

ival-div!: 46.0ms (10.8% of total)

ival-add!: 28.0ms (6.6% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess69.0ms (3.9%)

Memory

-32.1MiB live, 11.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	47	37
2	117	33
3	415	33
4	3775	33

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

9 → 29

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))
1.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))
1.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x)) (- 1 x) 1 x (+ 1 x))

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite74.0ms (4.2%)

Memory

8.6MiB live, 53.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	652
0	156	555
0	948	546

Stop Event

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

Counts

38 → 49

Calls

Call 1

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

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

eval5.0ms (0.3%)

Memory: 6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 850 to 250 computations (70.6% saved)

prune4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	7	45

Accuracy

100.0%

Counts

45 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	99.9%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))
	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
▶	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
▶	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 206 to 158 computations (23.3% saved)

series14.0ms (0.8%)

Memory

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

Counts

30 → 67

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1)) (- 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (sqrt (+ x 1)))
4.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1)) (- 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (sqrt (+ x 1)))
3.0ms	x	@	0	((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1)) (- 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (sqrt (+ x 1)))

Time

Variable

Point

Expression

6.0ms

inf

((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1)) (- 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (sqrt (+ x 1)))

4.0ms

-inf

((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1)) (- 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (sqrt (+ x 1)))

3.0ms

((* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (/ (- 1 (* x x)) (+ x 1)) (- 1 (* x x)) 1 (* x x) x (+ x 1) (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1)) (- 1 x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (sqrt (+ x 1)))

rewrite100.0ms (5.7%)

Memory

-32.1MiB live, 68.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	2329
0	428	1929
0	2235	1888

Stop Event

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

Counts

97 → 167

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 -1))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (fma.f64 (-.f64 (+.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 (* x x)) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (neg x) (neg.f64 x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x x)))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) #s(literal -1 binary64))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- 1 (* x x)) (neg.f64 (*.f64 x x)))
#s(approx (- 1 (* x x)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (/ (- 1 (* x x)) (+ x 1)) (+ 1 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (+ x 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))

eval19.0ms (1.1%)

Memory: -8.7MiB live, 37.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 299 to 774 computations (76.5% saved)

prune4.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	121	7	128

Accuracy

100.0%

Counts

128 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	99.9%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	99.5%	(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
▶	98.9%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
✓	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 112 to 87 computations (22.3% saved)

series9.0ms (0.5%)

Memory

21.2MiB live, 21.1MiB allocated; 0ms collecting garbage

Counts

28 → 83

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/8))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) (* x x) x 1 (- (neg x) 1) (neg x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (- 1 (* x x)) (* (+ x 1) (+ x 1)) (+ x 1) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* (- (* -1/8 x) 1/2) x) 1) (- (* -1/8 x) 1/2) (* -1/8 x) -1/8 1/2 (sqrt (+ x 1)))
2.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) (* x x) x 1 (- (neg x) 1) (neg x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (- 1 (* x x)) (* (+ x 1) (+ x 1)) (+ x 1) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* (- (* -1/8 x) 1/2) x) 1) (- (* -1/8 x) 1/2) (* -1/8 x) -1/8 1/2 (sqrt (+ x 1)))
2.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) (* x x) x 1 (- (neg x) 1) (neg x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (- 1 (* x x)) (* (+ x 1) (+ x 1)) (+ x 1) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* (- (* -1/8 x) 1/2) x) 1) (- (* -1/8 x) 1/2) (* -1/8 x) -1/8 1/2 (sqrt (+ x 1)))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite107.0ms (6.1%)

Memory

-23.2MiB live, 170.1MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	2525
0	472	2180
0	2492	2138

Stop Event

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

Counts

111 → 171

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/8))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
(+.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (+.f64 x #s(literal 1 binary64))) (fabs.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 x #s(literal 1 binary64)) x) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
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(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x))
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(-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
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#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
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#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
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#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))

eval21.0ms (1.2%)

Memory: 33.7MiB live, 79.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 716 to 1 018 computations (78.4% saved)

prune15.0ms (0.9%)

Memory

-19.7MiB live, 29.5MiB allocated; 13ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	0	0	0
Picked	3	0	3
Done	0	4	4
Total	155	7	162

Accuracy

100.0%

Counts

162 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	99.9%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))))
▶	98.9%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- ( x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
✓	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 121 to 93 computations (23.1% saved)

series11.0ms (0.6%)

Memory

-19.3MiB live, 26.5MiB allocated; 5ms collecting garbage

Counts

31 → 86

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (+ x 2) #s(hole binary64 2))
#s(approx (+ x 2) #s(hole binary64 (+ 2 x)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ x 2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/8))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) -1 (- (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (- 1 (* x x)) (* x x) (* (+ x 1) (+ x 1)) (+ (* (+ x 2) x) 1) (+ x 2) (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* (- (* -1/8 x) 1/2) x) 1) (- (* -1/8 x) 1/2) (* -1/8 x) -1/8 1/2 (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) -1 (- (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (- 1 (* x x)) (* x x) (* (+ x 1) (+ x 1)) (+ (* (+ x 2) x) 1) (+ x 2) (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* (- (* -1/8 x) 1/2) x) 1) (- (* -1/8 x) 1/2) (* -1/8 x) -1/8 1/2 (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* x x) 1) (- (neg x) 1)) (- (* x x) 1) -1 (- (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (- 1 (* x x)) (* x x) (* (+ x 1) (+ x 1)) (+ (* (+ x 2) x) 1) (+ x 2) (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (+ (* (- (* -1/8 x) 1/2) x) 1) (- (* -1/8 x) 1/2) (* -1/8 x) -1/8 1/2 (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

rewrite107.0ms (6.1%)

Memory

29.8MiB live, 167.5MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	2605
0	472	2273
0	2533	2232

Stop Event

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

Counts

117 → 170

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- ( x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx ( (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx ( (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx ( (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+.f64 x #s(literal 2 binary64))
(.f64 (atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(atan.f64 (/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (- 1 x) (+ 1 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 1))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (+ 1 x) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 2 x)))))
#s(approx (+ x 2) #s(hole binary64 2))
#s(approx (+ x 2) #s(hole binary64 (+ 2 x)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (- (* -1/8 x) 1/2)))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 1 (/ 1 x))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (+ x 1) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))))
#s(approx (+ x 2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x)))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (pow x 4))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) #s(hole binary64 (- (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt (/ -1 x)) 5) (sqrt (/ 1 x))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (/ (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/8 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 5))) (+ (* 1/8 (/ 1 (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x))))) (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (pow (sqrt (/ 1 x)) 2))))) (* (pow x 6) (pow (sqrt (/ 1 x)) 2)))) (+ (* -1/8 (/ (sqrt (/ -1 x)) (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (+ (* 1/16 (/ (sqrt (/ -1 x)) (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))) (+ (* 1/2 (/ (sqrt (/ -1 x)) (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/2 (/ (- (* 1/2 (/ 1 (* (sqrt (/ -1 x)) (sqrt (/ 1 x))))) (* 1/2 (/ (sqrt (/ -1 x)) (pow (sqrt (/ 1 x)) 3)))) (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt (/ -1 x)) 3) (sqrt (/ 1 x)))))))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (sqrt (/ -1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (- (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (+ 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) #s(hole binary64 (* 2 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x))))))))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) #s(hole binary64 (atan (sqrt (/ (+ 1 (* -1 x)) (- 1 (* -1 x)))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2)))))))
#s(approx (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) #s(hole binary64 (atan (sqrt (/ (- 1 (pow x 2)) (pow (- 1 (* -1 x)) 2))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) #s(hole binary64 (* 2 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x))))))))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) #s(hole binary64 (atan (/ (sqrt (+ 1 (* -1 x))) (sqrt (- 1 (* -1 x)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (sqrt (/ -1 x))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ -1 x))))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ -1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ -1 x)) 3))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ -1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ -1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ -1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ -1 x)) 3)))))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- 1/2 (/ 1 x)) x)) 1/8))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 #s(approx (- ( x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 #s(approx (- ( x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
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#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x)))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (.f64 x x))) (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))))))
#s(approx (sqrt (- 1 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (sqrt (- 1 x)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) (.f64 (neg.f64 (.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))
#s(approx (- (* -1/8 x) 1/2) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))))
#s(approx (sqrt (+ x 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) x))
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- (* x x) 1) (- (neg x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) (.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))))))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (* (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) 2) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (atan.f64 (sqrt.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (- 1 x)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (+ (* (- (* -1/8 x) 1/2) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))))

eval34.0ms (1.9%)

Memory: -15.1MiB live, 73.9MiB allocated; 13ms collecting garbage
Compiler: Compiled 4 589 to 979 computations (78.7% saved)

prune11.0ms (0.6%)

Memory

31.9MiB live, 31.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	0	0
Picked	3	0	3
Done	0	4	4
Total	136	6	142

Accuracy

100.0%

Counts

142 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(approx (* (+ x 1) (+ x 1)) (fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64)))))) #s(literal 2 binary64))
✓	100.0%	(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
	98.9%	(.f64 (atan.f64 #s(approx (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/.f64 #s(approx (- ( x x) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	99.9%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
✓	97.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 393 to 175 computations (55.5% saved)

regimes23.0ms (1.3%)

Memory

6.3MiB live, 52.3MiB allocated; 4ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	x
3.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes53.0ms (3%)

Memory

-6.7MiB live, 45.2MiB allocated; 11ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	x
3.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
3.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes46.0ms (2.6%)

Memory

-9.7MiB live, 36.5MiB allocated; 4ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	x
2.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
100.0%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes10.0ms (0.6%)

Memory

-18.3MiB live, 25.8MiB allocated; 5ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
2.0ms	x
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.9%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
98.9%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes5.0ms (0.3%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
98.9%	1	`x`
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.9%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes4.0ms (0.2%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
97.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
97.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
97.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
97.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
97.0%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

derivations50.0ms (2.9%)

Memory

-32.6MiB live, 64.6MiB allocated; 40ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 101 to 51 computations (49.5% saved)

preprocess45.0ms (2.6%)

Memory: 35.9MiB live, 166.9MiB allocated; 16ms collecting garbage
Compiler: Compiled 112 to 60 computations (46.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0.3%)

sample902.0ms (51.5%)

preprocess69.0ms (3.9%)

series4.0ms (0.2%)

rewrite74.0ms (4.2%)

eval5.0ms (0.3%)

prune4.0ms (0.2%)

series14.0ms (0.8%)

rewrite100.0ms (5.7%)

eval19.0ms (1.1%)

prune4.0ms (0.2%)

series9.0ms (0.5%)

rewrite107.0ms (6.1%)

eval21.0ms (1.2%)

prune15.0ms (0.9%)

series11.0ms (0.6%)

rewrite107.0ms (6.1%)

eval34.0ms (1.9%)

prune11.0ms (0.6%)

regimes23.0ms (1.3%)

regimes53.0ms (3%)

regimes46.0ms (2.6%)

regimes10.0ms (0.6%)

regimes5.0ms (0.3%)

regimes4.0ms (0.2%)

derivations50.0ms (2.9%)

preprocess45.0ms (2.6%)

end0.0ms (0%)

Profiling