Metrics for arccos

start0.0ms (0%)

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

analyze4.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB 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)

sample850.0ms (44%)

Memory

12.7MiB live, 1 043.4MiB allocated; 289ms collecting garbage

Samples

588.0ms	8 256×	0	valid
1.0ms	24×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 401.0ms

ival-atan: 87.0ms (21.7% of total)

ival-add!: 77.0ms (19.2% of total)

ival-sqrt: 72.0ms (17.9% of total)

ival-div!: 69.0ms (17.2% of total)

ival-sub!: 55.0ms (13.7% of total)

ival-mult!: 41.0ms (10.2% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess102.0ms (5.3%)

Memory

-17.0MiB live, 32.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	64	33
2	209	33
3	711	33
4	7548	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 20 to 18 computations (10% saved)

series4.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

9 → 34

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))
#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 (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 1))
#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))
#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
2.0ms	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

2.0ms

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))

rewrite65.0ms (3.3%)

Memory

8.0MiB live, 53.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	685
0	161	583
0	1143	570

Stop Event

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

Counts

43 → 66

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

eval7.0ms (0.3%)

Memory: 9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 579 to 339 computations (41.5% saved)

prune4.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	5	62

Accuracy

100.0%

Counts

62 → 5

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))
▶	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
▶	99.0%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
▶	98.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
▶	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 114 to 114 computations (0% saved)

series8.0ms (0.4%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

27 → 98

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite83.0ms (4.3%)

Memory

3.3MiB live, 49.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	362	2415
0	390	1995
0	2239	1934

Stop Event

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

Counts

125 → 195

Calls

Call 1

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

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

eval31.0ms (1.6%)

Memory: -13.7MiB live, 34.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 806 to 977 computations (45.9% saved)

prune6.0ms (0.3%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	187	2	189
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	188	6	194

Accuracy

100.0%

Counts

194 → 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) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
▶	99.0%	(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ x 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	98.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
▶	98.7%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 73 to 72 computations (1.4% saved)

series4.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

17 → 56

Calls

Call 1

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

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

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

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

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

rewrite55.0ms (2.8%)

Memory

-20.5MiB live, 25.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1249
0	187	1056
0	1053	1046

Stop Event

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

Counts

73 → 106

Calls

Call 1

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

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

eval8.0ms (0.4%)

Memory: 11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 759 to 457 computations (39.8% saved)

prune3.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	73	6	79

Accuracy

100.0%

Counts

79 → 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) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	99.0%	(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ x 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
▶	98.7%	(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	98.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
✓	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 73 to 72 computations (1.4% saved)

series3.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

10 → 30

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((* (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) (/ 1 x) 1 x 2)

1.0ms

((* (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) (/ 1 x) 1 x 2)

1.0ms

inf

((* (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) (/ 1 x) 1 x 2)

rewrite46.0ms (2.4%)

Memory

-22.1MiB live, 24.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	636
0	130	543
0	838	538

Stop Event

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

Counts

40 → 51

Calls

Call 1

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

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

eval4.0ms (0.2%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 428 to 262 computations (38.8% saved)

prune4.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	40	6	46

Accuracy

100.0%

Counts

46 → 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) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
✓	99.0%	(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ x 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
✓	98.7%	(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓	98.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (-.f64 #s(literal 1 binary64) x))))
✓	97.6%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 152 to 123 computations (19.1% saved)

regimes11.0ms (0.6%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms 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 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ x 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) 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))))))

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

Calls

5 calls:

3.0ms	x
2.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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 32 to 28 computations (12.5% saved)

regimes532.0ms (27.5%)

Memory

-66.6MiB live, 27.7MiB allocated; 874ms collecting garbage

Counts

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

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:

523.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2.0ms	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 32 to 28 computations (12.5% saved)

regimes9.0ms (0.5%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

5 calls:

2.0ms	x
2.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (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))
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)))

Results

Accuracy	Segments	Branch
99.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
99.0%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
99.0%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
99.0%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
99.0%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes7.0ms (0.4%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms 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 #s(literal 1 binary64) x))))
(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(approx (- 1 x) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))

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

Calls

5 calls:

2.0ms	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	(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	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.7%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.7%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.7%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
98.7%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes14.0ms (0.7%)

Memory

-68.8MiB live, 9.2MiB allocated; 15ms 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 #s(literal 1 binary64) x))))

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

Calls

5 calls:

10.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
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	(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
98.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.7%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.7%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.7%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
98.7%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB 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
97.6%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
97.6%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
97.6%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
97.6%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
97.6%	1	`x`

Compiler

Compiled 32 to 28 computations (12.5% saved)

derivations23.0ms (1.2%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 55 to 42 computations (23.6% saved)

preprocess44.0ms (2.3%)

Memory: -12.4MiB live, 79.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 65 to 51 computations (21.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.2%)

sample850.0ms (44%)

preprocess102.0ms (5.3%)

series4.0ms (0.2%)

rewrite65.0ms (3.3%)

eval7.0ms (0.3%)

prune4.0ms (0.2%)

series8.0ms (0.4%)

rewrite83.0ms (4.3%)

eval31.0ms (1.6%)

prune6.0ms (0.3%)

series4.0ms (0.2%)

rewrite55.0ms (2.8%)

eval8.0ms (0.4%)

prune3.0ms (0.2%)

series3.0ms (0.1%)

rewrite46.0ms (2.4%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

regimes11.0ms (0.6%)

regimes532.0ms (27.5%)

regimes9.0ms (0.5%)

regimes7.0ms (0.4%)

regimes14.0ms (0.7%)

regimes4.0ms (0.2%)

derivations23.0ms (1.2%)

preprocess44.0ms (2.3%)

end0.0ms (0%)

Profiling