Metrics for arccos

start0.0ms (0%)

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

analyze4.0ms (0.3%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample841.0ms (56.4%)

Memory

14.7MiB live, 817.9MiB allocated; 317ms collecting garbage

Samples

593.0ms	8 256×	0	valid
1.0ms	28×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-atan: 81.0ms (28.5% of total)

ival-sqrt: 69.0ms (24.2% of total)

ival-mult!: 48.0ms (16.9% of total)

ival-div!: 36.0ms (12.7% of total)

ival-sub!: 29.0ms (10.2% of total)

ival-add!: 20.0ms (7% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain82.0ms (5.5%)

Memory

14.7MiB live, 109.3MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

34.0ms

512×

valid

Compiler

Compiled 103 to 31 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sqrt: 8.0ms (39.6% of total)

ival-atan: 4.0ms (19.8% of total)

ival-sub!: 2.0ms (9.9% of total)

ival-add!: 2.0ms (9.9% of total)

ival-div!: 2.0ms (9.9% of total)

ival-mult!: 2.0ms (9.9% of total)

adjust: 0.0ms (0% of total)

preprocess60.0ms (4%)

Memory

-26.4MiB live, 17.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	37	37
2	57	37
3	132	33
4	466	33
5	2862	33

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

series5.0ms (0.3%)

Memory

6.3MiB live, 6.3MiB 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))

rewrite74.0ms (5%)

Memory

19.9MiB live, 66.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	685
0	161	587
0	953	578

Stop Event

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

Counts

43 → 54

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

eval5.0ms (0.3%)

Memory: 8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 875 to 277 computations (68.3% saved)

prune4.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Accuracy

100.0%

Counts

47 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
▶	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
▶	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
▶	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
▶	97.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 177 to 141 computations (20.3% saved)

series18.0ms (1.2%)

Memory

-27.0MiB live, 18.0MiB allocated; 7ms collecting garbage

Counts

36 → 118

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	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) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* -1 x) 1) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (+ x 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (- (* (+ (* -1/2 x) 1/2) x) 1) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 1/2)
4.0ms	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) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* -1 x) 1) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (+ x 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (- (* (+ (* -1/2 x) 1/2) x) 1) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 1/2)
2.0ms	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) (* (- (pow x -1) 1) x) (- (pow x -1) 1) (pow x -1) x -1 1 (+ 1 x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* -1 x) 1) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (atan (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (- 1 x)) (- 1 x) (sqrt (+ x 1)) (+ x 1) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (- (* (+ (* -1/2 x) 1/2) x) 1) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 1/2)

Time

Variable

Point

Expression

10.0ms

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

4.0ms

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

2.0ms

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

rewrite92.0ms (6.2%)

Memory

1.2MiB live, 92.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	417	2659
0	452	2308
0	2166	2264

Stop Event

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

Counts

154 → 225

Calls

Call 1

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

Outputs
(.f64 (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (*.f64 (log.f64 x) #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 #s(approx (- 1 x) (.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- 1 x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
(.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x)
(.f64 x (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
x
#s(literal -1 binary64)
#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 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
(*.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #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 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(+.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(+.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #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 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) #s(literal 1 binary64))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (+ 1 x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (* (- (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (- (pow x -1) 1) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (- (pow x -1) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (pow x -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (* -1 x) 1) #s(literal 1 binary64))
#s(approx (+ (* -1 x) 1) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (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 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(literal -1 binary64))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (* (+ (* -1/2 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/2 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #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 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (/.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 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (- (pow x -1) 1) x) (neg.f64 x))
#s(approx (* (- (pow x -1) 1) x) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (- (pow x -1) 1) #s(literal -1 binary64))
#s(approx (- (pow x -1) 1) (expm1.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* -1 x) 1) (neg.f64 x))
#s(approx (+ (* -1 x) 1) (.f64 (expm1.f64 (.f64 (log.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (* (+ (* -1/2 x) 1/2) x) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -1/2 x) 1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.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)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (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) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (- (pow x -1) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* -1 x) 1) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.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)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval20.0ms (1.4%)

Memory: 37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 466 to 1 098 computations (75.4% saved)

prune13.0ms (0.9%)

Memory

-37.5MiB live, 15.1MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	170	7	177

Accuracy

100.0%

Counts

177 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
✓	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
▶	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
✓	97.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 142 to 96 computations (32.4% saved)

series6.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

16 → 81

Calls

Call 1

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

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 (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 -1))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1 x))) 1)))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (- (* (pow x 2) (+ 1 (* x (- (* 5/4 x) 1)))) 1)))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (pow x 2)))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* 5/4 x) 1))))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 5/4 (* -1/2 x))) 1))))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* x (- (* 1/2 x) 1))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* x (- (* x (+ 1/2 (* -1/2 x))) 1))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 -1))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 (- (* x (+ 1/2 (* -1/2 x))) 1)))
#s(approx (* (+ (* -1/2 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/2 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/2 x)))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 -1))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (- (* x (- (* 1/2 x) 1)) 1)))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (- (* x (- (* x (+ 1/2 (* -1/2 x))) 1)) 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 (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (* 1/4 (pow x 6))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* 1/4 (pow x 6))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 6) (- 1/4 (* 1/2 (/ 1 x))))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 6) (- (+ 1/4 (/ 5/4 (pow x 2))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* -1/2 x) 1/2) x) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (* (+ (* -1/2 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1/2 x)))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* -1/2 (pow x 3))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (* 1/2 (/ 1 x))) 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) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x))))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(hole binary64 (* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) x))))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 6) (+ 1/4 (* -1 (/ (- 1/2 (* 5/4 (/ 1 x))) x))))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) #s(hole binary64 (* (pow x 6) (+ 1/4 (* -1 (/ (+ 1/2 (* -1 (/ (- 5/4 (/ 1 x)) x))) x))))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/2))))
#s(approx (+ (* -1/2 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x)))))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (- 1/2 (/ 1 x)) x)))))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (+ 1 (/ 1 x)) x))) 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))) (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (- (* (+ (* -1/2 x) 1/2) x) 1) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 x 1/2 1 (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1))
1.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (- (* (+ (* -1/2 x) 1/2) x) 1) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 x 1/2 1 (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1))
1.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (- (* (+ (* -1/2 x) 1/2) x) 1) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 x 1/2 1 (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1))

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

rewrite79.0ms (5.3%)

Memory

-15.1MiB live, 76.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	2602
0	297	2089
0	1523	2078

Stop Event

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

Counts

97 → 130

Calls

Call 1

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

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

eval31.0ms (2.1%)

Memory: 7.6MiB live, 53.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 220 to 1 406 computations (87.5% saved)

prune4.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	203	7	210

Accuracy

100.0%

Counts

210 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
✓	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
▶	99.2%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
✓	97.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 148 to 105 computations (29.1% saved)

series6.0ms (0.4%)

Memory

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

Counts

17 → 82

Calls

Call 1

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

Calls

3 calls:

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

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

1.0ms

inf

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

1.0ms

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

rewrite76.0ms (5.1%)

Memory

-26.5MiB live, 74.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	2636
0	296	2123
0	1543	2112

Stop Event

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

Counts

99 → 130

Calls

Call 1

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

Outputs
(.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
(+.f64 (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 #s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 x x)) #s(literal 1 binary64))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(.f64 x (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) #s(literal 1 binary64))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) #s(literal -1 binary64))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 5/4 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 x x))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 5/4 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 5/4 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) #s(literal -1 binary64))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (neg.f64 x))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) #s(literal -1 binary64))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
#s(approx (* (+ (* -1/2 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/2 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/2 x) 1/2) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/4 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 x x)) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (* (+ (* -1/2 x) 1/2) x) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -1/2 x) 1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (*.f64 (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))) #s(literal 2 binary64)))
#s(approx (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 x))))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.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)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) 1) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 5/4 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/4 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 5/4 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (+ (* -1/2 x) 1/2) x) 1) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)) #s(literal 1/2 binary64)) (.f64 x x)))
#s(approx (+ (* -1/2 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))

eval15.0ms (1%)

Memory: 29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 806 to 880 computations (87.1% saved)

prune6.0ms (0.4%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	113	7	120

Accuracy

100.0%

Counts

120 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
✓	100.0%	(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
✓	99.6%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
✓	98.9%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
	99.3%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(approx (+ ( -1/2 x) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
✓	97.7%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 404 to 181 computations (55.2% saved)

regimes12.0ms (0.8%)

Memory

-27.4MiB live, 19.5MiB allocated; 2ms 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))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) (atan.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 #s(approx (- 1 x) (.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 #s(approx (+ ( -1/2 x) 1/2) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 #s(approx ( (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) (* (- (* (+ (* -1/2 x) 1/2) x) 1) x)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (-.f64 (.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))))))

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

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes5.0ms (0.3%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (fma.f64 #s(literal -1 binary64) 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
98.9%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.9%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.9%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.9%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
98.9%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes4.0ms (0.3%)

Memory

9.9MiB live, 9.9MiB 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
97.7%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
97.7%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
97.7%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
97.7%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
97.7%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

derivations5.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 22 computations (45% saved)

preprocess23.0ms (1.6%)

Memory: -22.2MiB live, 24.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 102 to 62 computations (39.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.3%)

sample841.0ms (56.4%)

explain82.0ms (5.5%)

preprocess60.0ms (4%)

series5.0ms (0.3%)

rewrite74.0ms (5%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

series18.0ms (1.2%)

rewrite92.0ms (6.2%)

eval20.0ms (1.4%)

prune13.0ms (0.9%)

series6.0ms (0.4%)

rewrite79.0ms (5.3%)

eval31.0ms (2.1%)

prune4.0ms (0.3%)

series6.0ms (0.4%)

rewrite76.0ms (5.1%)

eval15.0ms (1%)

prune6.0ms (0.4%)

regimes12.0ms (0.8%)

regimes5.0ms (0.3%)

regimes4.0ms (0.3%)

derivations5.0ms (0.3%)

preprocess23.0ms (1.6%)

end0.0ms (0%)

Profiling