Metrics for arccos

start0.0ms (0%)

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

analyze4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB 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)

sample1.6s (61.3%)

Memory

-86.5MiB live, 1 058.3MiB allocated; 1.2s collecting garbage

Samples

1.3s	8 256×	0	valid
1.0ms	13×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sqrt: 784.0ms (77.2% of total)

ival-atan: 104.0ms (10.2% of total)

ival-mult!: 42.0ms (4.1% of total)

ival-div!: 36.0ms (3.5% of total)

ival-sub!: 27.0ms (2.7% of total)

ival-add!: 20.0ms (2% of total)

adjust: 1.0ms (0.1% of total)

Bogosity

explain111.0ms (4.3%)

Memory

46.2MiB live, 220.5MiB allocated; 44ms 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

53.0ms

512×

valid

Compiler

Compiled 103 to 31 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sqrt: 27.0ms (68.2% of total)

ival-atan: 5.0ms (12.6% of total)

ival-mult!: 3.0ms (7.6% of total)

ival-sub!: 2.0ms (5% of total)

ival-add!: 2.0ms (5% of total)

ival-div!: 2.0ms (5% of total)

adjust: 0.0ms (0% of total)

preprocess93.0ms (3.6%)

Memory

-44.3MiB live, 59.9MiB allocated; 46ms 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 (0.2%)

Memory

18.4MiB live, 18.4MiB 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))
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	@	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))

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

((* 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))

rewrite79.0ms (3.1%)

Memory

20.3MiB live, 109.2MiB allocated; 25ms 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)))))

eval6.0ms (0.2%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 919 to 277 computations (69.9% saved)

prune9.0ms (0.4%)

Memory

-32.3MiB live, 12.4MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	8	51

Accuracy

100.0%

Counts

51 → 8

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 (+.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))))))))
✓	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 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
▶	99.3%	(.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 (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))))
▶	98.5%	(*.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)))))
▶	97.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 255 to 193 computations (24.3% saved)

series11.0ms (0.4%)

Memory

28.7MiB live, 28.7MiB allocated; 0ms collecting garbage

Counts

33 → 109

Calls

Call 1

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

Outputs
#s(approx (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))))))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) #s(hole binary64 (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 1))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/2 x))) 1)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 1))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* -2 x))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 2 x) 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 2 (* -2 x))) 2)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 x))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#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) #s(hole binary64 1))
#s(approx (+ (* -1 x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 1))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 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 (+ x 1)))) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (/ 1 (* x (sqrt -1)))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* (pow x 3) (sqrt -1)))) (/ 1 (* x (sqrt -1))))))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 -1))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* 2 (/ 1 x)) (+ 1 (/ 2 (pow x 2))))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 1 (/ 2 (pow x 2))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 1))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))
#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) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (+ (* (- (* (+ (* -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 (+ x 1)))))) #s(hole binary64 (* 2 (atan (sqrt (+ (* -1 (/ x (- 1 (* -1 x)))) (/ 1 (- 1 (* -1 x)))))))))
#s(approx (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) #s(hole binary64 (atan (sqrt (+ (* -1 (/ x (- 1 (* -1 x)))) (/ 1 (- 1 (* -1 x))))))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ x (+ x 1))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
#s(approx (/ x (+ x 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) 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) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (- (* 1/2 x) 1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (+ (* (- (* (+ (* -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
4.0ms	x	@	-inf	((* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (- (/ 1 (+ x 1)) (/ x (+ x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ x (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* -1 x) 1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (- (* 1/2 x) 1) x) 1) (- (* 1/2 x) 1) (* 1/2 x) 1/2 (* 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)
3.0ms	x	@	inf	((* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (- (/ 1 (+ x 1)) (/ x (+ x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ x (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* -1 x) 1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (- (* 1/2 x) 1) x) 1) (- (* 1/2 x) 1) (* 1/2 x) 1/2 (* 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)
3.0ms	x	@	0	((* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))))) 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1)))) (- (/ 1 (+ x 1)) (/ x (+ x 1))) (/ 1 (+ x 1)) 1 (+ x 1) x (/ x (+ x 1)) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* -1 x) 1) -1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (* (- (* 1/2 x) 1) x) 1) (- (* 1/2 x) 1) (* 1/2 x) 1/2 (* 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)

Time

Variable

Point

Expression

4.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite99.0ms (3.8%)

Memory

-33.8MiB live, 116.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	2480
0	386	2092
0	1766	2077

Stop Event

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

Counts

142 → 211

Calls

Call 1

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

eval23.0ms (0.9%)

Memory: -1.8MiB live, 44.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 793 to 1 091 computations (77.2% saved)

prune5.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	180	8	188

Accuracy

100.0%

Counts

188 → 8

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)))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓	99.3%	(.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 (-.f64 (.f64 #s(literal 1/2 binary64) x) #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 (.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))))))
▶	98.5%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
▶	98.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
✓	97.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 170 to 112 computations (34.1% saved)

series9.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

28 → 101

Calls

Call 1

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

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 (+ (neg x) 1) #s(hole binary64 1))
#s(approx (+ (neg x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 -1))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* (neg x) (neg x)) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) 1) #s(hole binary64 -1))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 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 (- (* (- (* (+ (* -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 (+ (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg x) 1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 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 (* -1/2 (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 (+ (neg x) 1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 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 (* (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))) (+ (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) (* (neg x) (neg x)) (- (neg 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) (* (- (* (+ (* -1/2 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 1/2 (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1))
2.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) (* (neg x) (neg x)) (- (neg 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) (* (- (* (+ (* -1/2 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 1/2 (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1))
2.0ms	x	@	0	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (+ (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) (* (neg x) (neg x)) (- (neg 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) (* (- (* (+ (* -1/2 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 1/2 (- (* (- (* (+ (* -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))) (+ (neg x) 1) (neg x) x 1 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) (* (neg x) (neg x)) (- (neg 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) (* (- (* (+ (* -1/2 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 1/2 (- (* (- (* (+ (* -1/2 x) 1/2) x) 1) x) 1))

2.0ms

-inf

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

2.0ms

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

rewrite84.0ms (3.3%)

Memory

5.9MiB live, 55.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	2991
0	358	2380
0	1665	2369

Stop Event

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

Counts

129 → 203

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(literal 2 binary64)
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 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 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(-.f64 (neg.f64 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))))))
(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)
#s(literal 1/2 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))
#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 (+ (neg x) 1) #s(hole binary64 1))
#s(approx (+ (neg x) 1) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 -1))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* (neg x) (neg x)) #s(hole binary64 (pow x 2)))
#s(approx (- (neg x) 1) #s(hole binary64 -1))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 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 (- (* (- (* (+ (* -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 (+ (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (+ (neg x) 1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 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 (* -1/2 (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 (+ (neg x) 1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 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 (* (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))) (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)))))
#s(literal 2 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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
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#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 (- (* (- (* (+ (* -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 (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (neg.f64 x))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (neg.f64 x))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (* (neg x) (neg x)) 1) (*.f64 x x))
#s(approx (- (* (neg x) (neg x)) 1) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (- (neg x) 1) (neg.f64 x))
#s(approx (- (neg x) 1) (*.f64 (neg.f64 x) (+.f64 (pow.f64 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) (- (* (- (* (+ (* -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 (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 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)) (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)))))

eval37.0ms (1.5%)

Memory: -25.5MiB live, 64.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 916 to 1 722 computations (86.7% saved)

prune5.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	268	8	276

Accuracy

100.0%

Counts

276 → 8

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)))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓	99.3%	(.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 (-.f64 (.f64 #s(literal 1/2 binary64) x) #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 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 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))))))
▶	98.5%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- ( (neg x) (neg x)) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
✓	98.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
✓	97.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 183 to 127 computations (30.6% saved)

series8.0ms (0.3%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

27 → 106

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- ( (neg x) (neg x)) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
#s(literal 2 binary64)
(atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- (* (neg x) (neg x)) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- (* (neg x) (neg x)) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (neg x) (neg x)) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (* (neg x) (neg x)) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(.f64 #s(literal 2 binary64) (atan.f64 #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 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 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 #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(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 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 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 #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(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 (.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)) (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 #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 (*.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 (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 1))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 -1))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- (neg x) 1) #s(hole binary64 -1))
#s(approx (- (neg x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (* (- (* (+ (* -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) (+ (* -1 x) 1)) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (+ (* -1 x) 1)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* -1 x) 1) #s(hole binary64 1))
#s(approx (+ (* -1 x) 1) #s(hole binary64 (+ 1 (* -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 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 (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* (neg x) (neg x)) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (- (neg x) 1) #s(hole binary64 (* -1 (* x (+ 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 (* -1/2 (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 (* (* x x) (+ (* -1 x) 1)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (* x x) (+ (* -1 x) 1)) #s(hole binary64 (* (pow x 3) (- (/ 1 x) 1))))
#s(approx (+ (* -1 x) 1) #s(hole binary64 (* -1 x)))
#s(approx (+ (* -1 x) 1) #s(hole binary64 (* x (- (/ 1 x) 1))))
#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 (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) #s(hole binary64 (* -1 (* x (- 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 (* (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 (* (* x x) (+ (* -1 x) 1)) #s(hole binary64 (* -1 (* (pow x 3) (- 1 (/ 1 x))))))
#s(approx (+ (* -1 x) 1) #s(hole binary64 (* -1 (* x (- 1 (/ 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)))))))
#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
2.0ms	x	@	-inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) -1 (- (neg x) 1) (neg x) 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) (* (- (* (+ (* -1/2 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) (+ (* -1 x) 1)) (* x 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) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 1/2)
2.0ms	x	@	inf	((* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) -1 (- (neg x) 1) (neg x) 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) (* (- (* (+ (* -1/2 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) (+ (* -1 x) 1)) (* x 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) (* (+ (* -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))) (/ (- (* (neg x) (neg x)) 1) (- (neg x) 1)) (- (* (neg x) (neg x)) 1) -1 (- (neg x) 1) (neg x) 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) (* (- (* (+ (* -1/2 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) (+ (* -1 x) 1)) (* x 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) (* (+ (* -1/2 x) 1/2) x) (+ (* -1/2 x) 1/2) -1/2 1/2)

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

2.0ms

inf

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

rewrite140.0ms (5.4%)

Memory

-21.2MiB live, 82.5MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	3099
0	356	2513
0	1701	2502

Stop Event

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

Counts

133 → 196

Calls

Call 1

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

eval37.0ms (1.4%)

Memory: 3.6MiB live, 49.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 10 160 to 1 259 computations (87.6% saved)

prune8.0ms (0.3%)

Memory

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

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	171	8	179

Accuracy

100.0%

Counts

179 → 8

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)))))
✓	100.0%	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓	99.3%	(.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 (-.f64 (.f64 #s(literal 1/2 binary64) x) #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 (.f64 x x) (+.f64 (neg.f64 x) #s(literal 1 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))))))
✓	98.5%	(.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (/.f64 #s(approx (- ( (neg x) (neg x)) 1) #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64))))))
✓	98.5%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
✓	97.2%	(*.f64 #s(literal 2 binary64) (atan.f64 #s(approx (sqrt (/ (- 1 x) (+ 1 x))) #s(literal 1 binary64))))

Compiler

Compiled 548 to 238 computations (56.6% saved)

regimes19.0ms (0.7%)

Memory

-4.9MiB live, 39.7MiB allocated; 7ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
3.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
3.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
3.0ms	(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)

regimes13.0ms (0.5%)

Memory

-19.5MiB live, 25.8MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

5.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
2.0ms	x
2.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))

Results

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes9.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

(*.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)))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
99.3%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
99.3%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
99.3%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
99.3%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes66.0ms (2.6%)

Memory

-30.4MiB live, 22.9MiB allocated; 10ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 #s(literal 2 binary64) (atan.f64 #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)))))

Calls

5 calls:

59.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
2.0ms	x
1.0ms	(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))
1.0ms	(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
1.0ms	(/.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)

regimes6.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(*.f64 #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))) (+.f64 (neg.f64 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
98.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
98.5%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
98.5%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
98.5%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
98.5%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes4.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))`
97.2%	1	`(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))`
97.2%	1	`(atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))`
97.2%	1	`(*.f64 #s(literal 2 binary64) (atan.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))))`
97.2%	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

derivations64.0ms (2.5%)

Memory

-24.8MiB live, 21.9MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 95 to 43 computations (54.7% saved)

preprocess39.0ms (1.5%)

Memory: 21.6MiB live, 67.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 106 to 52 computations (50.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.2%)

sample1.6s (61.3%)

explain111.0ms (4.3%)

preprocess93.0ms (3.6%)

series5.0ms (0.2%)

rewrite79.0ms (3.1%)

eval6.0ms (0.2%)

prune9.0ms (0.4%)

series11.0ms (0.4%)

rewrite99.0ms (3.8%)

eval23.0ms (0.9%)

prune5.0ms (0.2%)

series9.0ms (0.3%)

rewrite84.0ms (3.3%)

eval37.0ms (1.5%)

prune5.0ms (0.2%)

series8.0ms (0.3%)

rewrite140.0ms (5.4%)

eval37.0ms (1.4%)

prune8.0ms (0.3%)

regimes19.0ms (0.7%)

regimes13.0ms (0.5%)

regimes9.0ms (0.3%)

regimes66.0ms (2.6%)

regimes6.0ms (0.2%)

regimes4.0ms (0.2%)

derivations64.0ms (2.5%)

preprocess39.0ms (1.5%)

end0.0ms (0%)

Profiling