Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 19 to 11 computations (42.1% saved)

sample2.2s (44.8%)

Memory

-18.5MiB live, 2 607.2MiB allocated; 1.6s collecting garbage

Samples

828.0ms	2 918×	2	valid
780.0ms	4 177×	0	valid
351.0ms	1 161×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-hypot: 513.0ms (46.8% of total)

ival-sqrt: 175.0ms (16% of total)

adjust: 168.0ms (15.3% of total)

ival-div!: 83.0ms (7.6% of total)

ival-mult!: 75.0ms (6.8% of total)

ival-sub!: 45.0ms (4.1% of total)

ival-add!: 37.0ms (3.4% of total)

Bogosity

explain162.0ms (3.2%)

Memory

26.9MiB live, 217.6MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
81	-	1	(-0.3041832592468975)	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
0	-	0	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	-	0	-	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`	cancellation	80	1

Confusion

	Predicted +	Predicted -
+	80	1
-	0	175

Precision

1.0

Recall

0.9876543209876543

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	80	1	0
-	0	0	175

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	176
1	80

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms	166×	2	valid
17.0ms	264×	0	valid
11.0ms	82×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-hypot: 20.0ms (37.5% of total)

ival-sub!: 8.0ms (15% of total)

adjust: 7.0ms (13.1% of total)

ival-sqrt: 7.0ms (13.1% of total)

ival-div!: 5.0ms (9.4% of total)

ival-mult!: 4.0ms (7.5% of total)

ival-add!: 2.0ms (3.7% of total)

preprocess111.0ms (2.2%)

Memory

-22.1MiB live, 57.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	61	40
2	133	40
3	299	40
4	1248	39
5	6457	39

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series7.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

9 → 69

Calls

Call 1

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

Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

rewrite197.0ms (3.9%)

Memory

-22.6MiB live, 174.4MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	316	1700
0	326	1369
1	1998	1336
0	8138	1291

Stop Event

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

Counts

78 → 149

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))

Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(pow.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(sqrt.f64 (.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) #s(literal 3/16 binary64) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))

eval17.0ms (0.3%)

Memory: 36.7MiB live, 36.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 255 to 818 computations (80.8% saved)

prune16.0ms (0.3%)

Memory

-17.2MiB live, 28.7MiB allocated; 4ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	127	18	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	18	146

Accuracy

73.2%

Counts

146 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
	72.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
	72.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
▶	53.4%	(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
	72.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
	47.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	70.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	51.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
	50.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
▶	22.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
	22.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
▶	50.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	50.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	23.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
	23.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	21.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 068 to 566 computations (47% saved)

series25.0ms (0.5%)

Memory

-11.4MiB live, 36.5MiB allocated; 10ms collecting garbage

Counts

33 → 201

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 3/8 binary64) (.f64 x x))
#s(literal 3/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))

Outputs
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (* 1/4 (/ (pow x 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 35/256 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))) (* 5/32 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/8 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/16 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 3/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
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#s(approx x #s(hole binary64 x))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
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#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
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#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (- (* 3/8 (pow x 2)) 1/2)))
#s(approx (* 3/8 (* x x)) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 1/2))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 1/2))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 1))
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#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
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#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#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 (/ 1 x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* 3/8 (pow x 4))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/8 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/8 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (* (pow x 2) (- 3/8 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (* 1/2 (/ 1 x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 1/8 (* 3/16 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (- 1 (* 1/2 (/ 1 x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) x))) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))
5.0ms	x	@	inf	((/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))
5.0ms	x	@	0	((/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))

Time

Variable

Point

Expression

8.0ms

-inf

((/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))

5.0ms

inf

((/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))

5.0ms

((/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) (- (* 3/8 (* x x)) 1/2) (* 3/8 (* x x)) 3/8 (* x x) (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))

rewrite86.0ms (1.7%)

Memory

14.5MiB live, 153.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	714	7025
0	755	6917

Stop Event

1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

234 → 236

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
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(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 3/8 binary64) (.f64 x x))
#s(literal 3/8 binary64)
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(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 2))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 (/ (+ 1/2 (* 1/2 x)) x)))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
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#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (+ (* (- (* 3/8 (* x x)) 1/2) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* 3/8 (* x x)) 1/2) #s(hole binary64 (- (* 3/8 (pow x 2)) 1/2)))
#s(approx (* 3/8 (* x x)) #s(hole binary64 (* 3/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 x) 1/2) #s(hole binary64 1/2))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
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#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
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#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
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#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
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#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 1))
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#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ 1/8 (* 3/16 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x))))))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
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#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (sqrt 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (- 1 (* 1/2 (/ 1 x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) x))) x)))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 3/8 binary64) (.f64 x x))
#s(literal 3/8 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 35/256 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (.f64 #s(literal 5/32 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/16 binary64))))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(literal 2 binary64))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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#s(approx (sqrt (+ (* x x) 1)) x)
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#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (sqrt (+ (/ 1 (sqrt (+ (* x x) 1))) 1)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x))) x))))

eval40.0ms (0.8%)

Memory: 10.2MiB live, 104.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 12 527 to 1 483 computations (88.2% saved)

prune25.0ms (0.5%)

Memory

20.0MiB live, 67.2MiB allocated; 1ms collecting garbage

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	290	14	304
Fresh	2	11	13
Picked	0	5	5
Done	0	0	0
Total	292	30	322

Accuracy

99.9%

Counts

322 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	24.3%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))))))
	22.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
	33.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64)))))
	54.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( x x) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
	50.8%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	51.1%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	49.6%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	50.8%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	49.0%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	51.7%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	72.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
✓	53.4%	(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
	72.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
▶	47.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
▶	70.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	51.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
	50.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
✓	22.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
	22.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
▶	50.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
	23.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
	51.7%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	49.1%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
	50.0%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
	23.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	21.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 1 997 to 1 159 computations (42% saved)

series48.0ms (1%)

Memory

-15.5MiB live, 78.5MiB allocated; 9ms collecting garbage

Counts

44 → 327

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) #s(hole binary64 (- (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))) (* 1/2 (/ (* (sqrt 1/2) (sqrt 8)) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) #s(hole binary64 (- (+ (* (pow x 2) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (+ (* -3 (/ (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (* -1 (/ (* (sqrt 1/2) (* (sqrt 8) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (/ (* (sqrt 1/2) (sqrt 8)) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) #s(hole binary64 (- (+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (+ (* -1 (* (sqrt 8) (+ (* -1 (/ (* (sqrt 1/2) (pow (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) 2)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))) (/ (* (sqrt 1/2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (* 3 (/ (* (sqrt 1/2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (* (sqrt 8) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (+ (* -3 (/ (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (* -1 (/ (* (sqrt 1/2) (* (sqrt 8) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (/ (* (sqrt 1/2) (sqrt 8)) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) #s(hole binary64 (- (+ (* (pow x 2) (- (+ (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* -1 (/ (* (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/2 (+ (* -1 (* (sqrt 8) (+ (* -1 (/ (* (sqrt 1/2) (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* (sqrt 1/2) (pow (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) 2)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))) (/ (* (sqrt 1/2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (/ (* (sqrt 1/2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))) (* (sqrt 8) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 49/8 (* -3 (/ (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))) (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (* 3 (/ (+ (* -1 (/ (* (sqrt 1/2) (pow (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) 2)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))) (/ (* (sqrt 1/2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (sqrt 8))))))) (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (+ (* -1 (* (sqrt 8) (+ (* -1 (/ (* (sqrt 1/2) (pow (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) 2)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))) (/ (* (sqrt 1/2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2))))) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (* 3 (/ (* (sqrt 1/2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (* (sqrt 8) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))))) (+ (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (+ (* -3 (/ (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (* -1 (/ (* (sqrt 1/2) (* (sqrt 8) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))) (* 1/2 (/ (* (sqrt 1/2) (sqrt 8)) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2))))))
#s(approx (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (+ (* (pow x 2) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))) (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (+ (* (pow x 2) (- (+ (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* (pow x 2) (- (* (pow x 2) (- (* 5/32 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* -1 (/ (* (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2)))))) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))) (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))))) (/ 1 (+ 2 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4))))))
#s(approx (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ 2 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))) 1/4))))))
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#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))) 1/4))))))
#s(approx (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ 1 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ 3/16 (+ (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* (pow x 2) (- (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) 5/32)))))) 1/4))))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 2))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ (/ 1 (sqrt (+ (* x x) 1))) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
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#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
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#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
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#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
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Calls

3 calls:

Time	Variable		Point	Expression
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14.0ms	x	@	inf	((- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+ (* 2 (sqrt (+ (* x x) 1))) 2) 2 (* 2 (sqrt (+ (* x x) 1))) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (pow x 2) (+ 1/4 (* -3/16 (pow x 2))) 1/4 (* -3/16 (pow x 2)) -3/16 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))
6.0ms	x	@	-inf	((- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+ (* 2 (sqrt (+ (* x x) 1))) 2) 2 (* 2 (sqrt (+ (* x x) 1))) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (pow x 2) (+ 1/4 (* -3/16 (pow x 2))) 1/4 (* -3/16 (pow x 2)) -3/16 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

Time

Variable

Point

Expression

16.0ms

((- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+ (* 2 (sqrt (+ (* x x) 1))) 2) 2 (* 2 (sqrt (+ (* x x) 1))) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (pow x 2) (+ 1/4 (* -3/16 (pow x 2))) 1/4 (* -3/16 (pow x 2)) -3/16 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

14.0ms

inf

((- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+ (* 2 (sqrt (+ (* x x) 1))) 2) 2 (* 2 (sqrt (+ (* x x) 1))) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (pow x 2) (+ 1/4 (* -3/16 (pow x 2))) 1/4 (* -3/16 (pow x 2)) -3/16 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

6.0ms

-inf

((- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))) (sqrt (+ (* 1 1) (* x x))) (+ (* (* x x) 1/2) 1) (* x x) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+ (* 2 (sqrt (+ (* x x) 1))) 2) 2 (* 2 (sqrt (+ (* x x) 1))) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (pow x 2) (+ 1/4 (* -3/16 (pow x 2))) 1/4 (* -3/16 (pow x 2)) -3/16 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

rewrite237.0ms (4.7%)

Memory

24.5MiB live, 341.5MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1466	18310
0	1527	13295
0	8469	13093

Stop Event

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

Counts

371 → 451

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (+ (* -1/2 (/ (+ (* -1 (/ (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* 3/2 (/ (sqrt 1/2) (+ 3/2 (sqrt 1/2))))) x)) (* 1/2 (/ (sqrt 1/2) (+ 3/2 (sqrt 1/2)))))))
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#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* -3/4 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2)))))
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#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/16 (sqrt 1/2)) (* 13/32 (/ (sqrt 1/2) x))) x)) (* 3/4 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (* x (+ (* -1/2 (/ (sqrt 2) x)) (/ 1 x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (/ (+ (* 1/4 (/ (sqrt 2) x)) (/ 1 (sqrt 2))) x))) x)) (* -1/2 (/ (sqrt 2) x)))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (* x (sqrt 2)))) (* 1/2 (+ (* 1/4 (/ (sqrt 2) x)) (/ 1 (sqrt 2))))) x))) x)) (* -1/2 (/ (sqrt 2) x)))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (sqrt 2) x)) (* 1/2 (/ (+ (* 1/4 (/ (sqrt 2) x)) (/ 1 (sqrt 2))) (pow x 2))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (* -1 (* x (- (+ (* -1/2 (/ (sqrt 2) x)) (* 1/2 (/ (+ (* 1/4 (/ (sqrt 2) x)) (/ 1 (sqrt 2))) (pow x 2)))) (/ 1/4 (* (pow x 3) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (- (* -5/32 (/ (sqrt 2) x)) (+ (* -1/2 (/ x (pow (sqrt 2) 3))) (* 1/4 (/ 1 (sqrt 2))))) x)) (* 1/4 (/ 1 (sqrt 2)))) (pow x 3))) (+ (* -1/2 (/ (sqrt 2) x)) (* 1/2 (/ (+ (* 1/4 (/ (sqrt 2) x)) (/ 1 (sqrt 2))) (pow x 2)))))))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) #s(hole binary64 (* -2 x)))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x)))))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* -1 (/ (- 2 (/ 1 x)) x)))))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) #s(hole binary64 (* -1 (* x (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 1 (* 1/4 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -2 x)))
#s(approx (* 2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 2 (/ 1 (pow x 2)))))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (- (+ 2 (/ 1 (pow x 2))) (/ 1/4 (pow x 4)))))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (- (+ 2 (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow x 6))))) (/ 1/4 (pow x 4)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (* -1/16 (/ (sqrt 1/2) (* x (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ 1 (sqrt 1/2)))) (+ (* -3/32 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/8 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2))))))) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (* -1/16 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/4 (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
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#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))))))
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Outputs
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#s(literal 1 binary64)
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#s(approx (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 9/64 binary64)) #s(literal 27 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/16 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 9 binary64))))) #s(literal 11/64 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 3 binary64))) #s(literal 1/12 binary64)))))))
#s(approx (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 3 binary64))) #s(literal 1/12 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/16 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -3/8 binary64)) #s(literal 27 binary64))) (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 9/64 binary64)) #s(literal 27 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/16 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 9 binary64))) #s(literal -3/8 binary64)) #s(literal 3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 69/256 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 5/32 binary64))) #s(literal 9 binary64)))))) (+.f64 #s(literal -59/384 binary64) (.f64 #s(literal 3 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 9/64 binary64)) #s(literal 27 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/16 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 9 binary64))) (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 8 binary64)) (+.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 9/64 binary64)) #s(literal 27 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/16 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 9 binary64))))) #s(literal 11/64 binary64)))))))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1 binary64))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -3/8 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 39/8 binary64))) (sqrt.f64 #s(literal 8 binary64))))))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/8 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 275/64 binary64))) (sqrt.f64 #s(literal 8 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 39/8 binary64)) (sqrt.f64 #s(literal 8 binary64))))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 69/256 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64))) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 69/256 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 11/32 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/16 binary64) (.f64 #s(literal -5/32 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1/2 x) 1/2) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (/ 1/2 x) 1/2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -5/16 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/8 binary64) (.f64 #s(literal -5/16 binary64) (.f64 x x)))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)))))))
#s(approx (+ (* (* x x) 1/2) 1) #s(literal 1 binary64))
#s(approx (+ (* (* x x) 1/2) 1) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))))
#s(approx (* x x) (*.f64 x x))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64)))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) #s(literal 1 binary64))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))
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#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/16 binary64) (.f64 #s(literal -5/32 binary64) (.f64 x x)))) #s(literal 1/4 binary64)))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) #s(literal 2 binary64))
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#s(approx (* 2 (sqrt (+ (* x x) 1))) #s(literal 2 binary64))
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#s(approx (* 2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (.f64 x x))))))
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#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) #s(literal 2 binary64))))
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#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 149/2048 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/32 binary64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/32 binary64))) #s(literal 1/8 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/32 binary64)) #s(literal 11/32 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 149/2048 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/32 binary64)) #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1051/16384 binary64))))) (-.f64 #s(literal 149/2048 binary64) (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/32 binary64)) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/32 binary64))) #s(literal 1/8 binary64))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 3/16 binary64) (.f64 x x)))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) #s(literal 3/16 binary64))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (.f64 x x)))) #s(literal 3/16 binary64))))))
#s(approx (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (.f64 #s(literal 1/4 binary64) (.f64 x x)))
#s(approx (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 3/16 binary64) (.f64 x x)))))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ 1/4 (* -3/16 (pow x 2))) #s(literal 1/4 binary64))
#s(approx (+ 1/4 (* -3/16 (pow x 2))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 3/16 binary64) (.f64 x x))))
#s(approx (* -3/16 (pow x 2)) (.f64 #s(literal -3/16 binary64) (.f64 x x)))
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#s(approx (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) 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#s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 x x)) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x))))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 #s(literal -13/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal -5 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) x))))
#s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ 1/2 x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (+ (* (* x x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/2) 1) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 x (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (.f64 x (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 x x) x) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 5/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) x))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal -5 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) x))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) #s(literal 1 binary64))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (+.f64 x x))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (.f64 x (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x))))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (+.f64 x x))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (.f64 x (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 x x))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1/2 binary64))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal -5 binary64))))))
#s(approx (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (.f64 #s(literal -3/16 binary64) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/16 binary64))))
#s(approx (+ 1/4 (* -3/16 (pow x 2))) (.f64 #s(literal -3/16 binary64) (.f64 x x)))
#s(approx (+ 1/4 (* -3/16 (pow x 2))) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/16 binary64))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
#s(approx (- (/ 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
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#s(approx (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))))
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#s(approx (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (neg.f64 (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x) (.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal -3/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
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#s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 #s(literal -3/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (.f64 #s(literal 3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 13/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (.f64 #s(literal -3/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))))
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#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
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#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))))
#s(approx (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))) x))))
#s(approx (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (*.f64 #s(literal -2 binary64) x))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (*.f64 (neg.f64 x) (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (+ (* 2 (sqrt (+ (* x x) 1))) 2) (.f64 (neg.f64 x) (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))) x)))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (*.f64 #s(literal -2 binary64) x))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (.f64 (neg.f64 x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (.f64 (neg.f64 x) (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (* 2 (sqrt (+ (* x x) 1))) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -3/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) x)) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))

eval130.0ms (2.6%)

Memory: -36.8MiB live, 254.4MiB allocated; 33ms collecting garbage
Compiler: Compiled 68 226 to 4 082 computations (94% saved)

prune28.0ms (0.6%)

Memory

18.3MiB live, 65.6MiB allocated; 1ms collecting garbage

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	842	13	855
Fresh	13	7	20
Picked	2	3	5
Done	2	3	5
Total	859	26	885

Accuracy

99.9%

Counts

885 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
✓	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	54.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( x x) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
	47.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
▶	50.8%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	51.1%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	49.6%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (.f64 x x)))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	52.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
	52.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
	72.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
✓	47.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
✓	70.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
	23.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
▶	23.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
	22.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
▶	51.7%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	49.7%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
	50.9%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
	49.1%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
▶	50.0%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	23.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	21.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 2 110 to 917 computations (56.5% saved)

series52.0ms (1%)

Memory

-2.8MiB live, 93.1MiB allocated; 7ms collecting garbage

Counts

41 → 242

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))
(.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64)))
(-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))
(.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x))))
(-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))
#s(literal 11/128 binary64)
(.f64 #s(literal 69/1024 binary64) (.f64 x x))
#s(literal 69/1024 binary64)
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Outputs
#s(approx (/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (/ (- (+ 2 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (* (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2))))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))))
#s(approx (/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* (pow x 2) (- (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (/ (+ (* -3 (/ (* (sqrt 1/2) (+ 2 (* (sqrt 1/2) (sqrt 2)))) (sqrt 8))) (* (sqrt 1/2) (* (sqrt 8) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 2 (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (+ 2 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (* (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))))))) (+ (* 2 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (sqrt 1/2) (sqrt 2)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ (* (sqrt 1/2) (sqrt 8)) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))
#s(approx (/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) #s(hole binary64 (- (+ (* (pow x 2) (- (+ (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* (pow x 2) (- (+ (* 3/16 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))))) (+ (* 1/2 (/ (+ (* -3 (/ (* (sqrt 1/2) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)) (sqrt 8))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (+ 2 (* (sqrt 1/2) (sqrt 2))) (- 6 (* 9 (/ 1 (pow (sqrt 8) 2)))))) (sqrt 8))) (* (sqrt 1/2) (* (sqrt 8) (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 2 (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (/ (+ (* -3 (/ (* (sqrt 1/2) (+ 2 (* (sqrt 1/2) (sqrt 2)))) (sqrt 8))) (* (sqrt 1/2) (* (sqrt 8) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 2 (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (+ 2 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (* (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))))))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (/ (* (+ (* 2 (* (+ 3/16 (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))) (+ 2 (* (sqrt 1/2) (sqrt 2))))) (pow (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) 2)) (- (+ 2 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (* (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 4))))))) (+ (* 1/4 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (+ (* 1/2 (/ (+ (* -3 (/ (* (sqrt 1/2) (+ 2 (* (sqrt 1/2) (sqrt 2)))) (sqrt 8))) (* (sqrt 1/2) (* (sqrt 8) (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4)))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (* 2 (/ (* (- (* -1/4 (/ (sqrt 1/2) (sqrt 2))) 1/4) (- (+ 2 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (* (sqrt 1/2) (* (sqrt 8) (+ 2 (* (sqrt 1/2) (sqrt 2)))))))) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 3))))))) (+ (* 2 (/ 1 (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2))) (/ (* (sqrt 1/2) (sqrt 2)) (pow (+ 2 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ (* (sqrt 1/2) (sqrt 8)) (+ 2 (* (sqrt 1/2) (sqrt 2))))))))
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Calls

3 calls:

Time	Variable		Point	Expression
19.0ms	x	@	inf	((/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 1/2) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+ 1 (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8))) (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8)) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8) (* (* x x) (- 11/128 (* 69/1024 (* x x)))) (- 11/128 (* 69/1024 (* x x))) 11/128 (* 69/1024 (* x x)) 69/1024 (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1/2 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))
12.0ms	x	@	0	((/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 1/2) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+ 1 (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8))) (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8)) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8) (* (* x x) (- 11/128 (* 69/1024 (* x x)))) (- 11/128 (* 69/1024 (* x x))) 11/128 (* 69/1024 (* x x)) 69/1024 (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1/2 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))
6.0ms	x	@	-inf	((/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 1/2) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+ 1 (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8))) (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8)) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8) (* (* x x) (- 11/128 (* 69/1024 (* x x)))) (- 11/128 (* 69/1024 (* x x))) 11/128 (* 69/1024 (* x x)) 69/1024 (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1/2 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

Time

Variable

Point

Expression

19.0ms

inf

((/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 1/2) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+ 1 (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8))) (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8)) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8) (* (* x x) (- 11/128 (* 69/1024 (* x x)))) (- 11/128 (* 69/1024 (* x x))) 11/128 (* 69/1024 (* x x)) 69/1024 (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1/2 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

12.0ms

((/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 1/2) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+ 1 (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8))) (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8)) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8) (* (* x x) (- 11/128 (* 69/1024 (* x x)))) (- 11/128 (* 69/1024 (* x x))) 11/128 (* 69/1024 (* x x)) 69/1024 (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1/2 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

6.0ms

-inf

((/ (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))))) (- (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) 1 (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (* 1/8 (* x x)) 1/8 (* x x) (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2))) (+ 1 (sqrt 1/2)) (sqrt 1/2) (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+ 1 (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8))) (* (* x x) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8)) (- (* (* x x) (- 11/128 (* 69/1024 (* x x)))) 1/8) (* (* x x) (- 11/128 (* 69/1024 (* x x)))) (- 11/128 (* 69/1024 (* x x))) 11/128 (* 69/1024 (* x x)) 69/1024 (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (- 1/2 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))

rewrite246.0ms (4.9%)

Memory

-5.2MiB live, 347.0MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1387	19208
0	1450	13941
0	8582	13504

Stop Event

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

Counts

283 → 362

Calls

Call 1

Inputs
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#s(approx (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow (sqrt 1/2) 2)) (+ (* 3/8 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))) (* 3/2 (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2))))))) x)) (* 1/2 (+ (* 3/2 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))) (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2))))))) x)) (* 1/2 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))))))
#s(approx (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -13/16 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))) (+ (* -3/16 (pow (sqrt 1/2) 2)) (+ (* 3/8 (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2))))) (* (sqrt 1/2) (- (* -3/16 (sqrt 1/2)) 1/4))))) x)) (* 1/2 (+ (* -1/8 (pow (sqrt 1/2) 2)) (+ (* 3/8 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))) (* 3/2 (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2))))))))) x)) (* 1/2 (+ (* 3/2 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))) (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2))))))) x)) (* 1/2 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))))))
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#s(approx (* (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+ 1 (+ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt 1/2) (+ 1/2 (* 1/2 (sqrt 1/2))))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* -3/16 (sqrt 1/2)) 1/4)))) x)) (+ (* -1/4 (* (sqrt 1/2) (+ 3/2 (sqrt 1/2)))) (pow (+ 1/2 (* 1/2 (sqrt 1/2))) 2))) x)) (* 2 (* (+ 1/2 (* 1/2 (sqrt 1/2))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))))
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Outputs
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#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
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#s(approx (* (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (fma.f64 #s(literal -13/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))))
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#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 x (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
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#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 x x))) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
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#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
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#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -5/32 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) x) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 x x) x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)))))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) x))))
#s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))
#s(approx (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))))

eval206.0ms (4.1%)

Memory: -10.4MiB live, 318.7MiB allocated; 43ms collecting garbage
Compiler: Compiled 133 330 to 4 542 computations (96.6% saved)

prune44.0ms (0.9%)

Memory

2.1MiB live, 99.3MiB allocated; 10ms collecting garbage

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 021	5	1 026
Fresh	1	14	15
Picked	2	3	5
Done	0	6	6
Total	1 024	28	1 052

Accuracy

99.9%

Counts

1 052 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.8%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
	52.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
	53.0%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
✓	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	54.5%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( x x) 1) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	72.8%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
	47.1%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	50.9%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	51.1%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	49.6%	(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (.f64 x x)))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	52.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
	52.3%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
	72.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
✓	47.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
✓	70.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
	48.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	50.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	50.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
	23.7%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
✓	23.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
	22.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
✓	51.7%	#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
	49.7%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
	50.9%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
	49.1%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
✓	50.0%	#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	23.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
✓	21.6%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))

Compiler

Compiled 3 838 to 878 computations (77.1% saved)

regimes94.0ms (1.9%)

Memory

-6.4MiB live, 185.7MiB allocated; 31ms collecting garbage

Counts

51 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (.f64 x x)))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
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#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
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(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) #s(literal 11/128 binary64))))))

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

Calls

7 calls:

20.0ms	(hypot.f64 #s(literal 1 binary64) x)
14.0ms	x
14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
10.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes73.0ms (1.5%)

Memory

10.6MiB live, 148.5MiB allocated; 16ms collecting garbage

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 5/32 binary64) (.f64 #s(literal -35/256 binary64) (.f64 x x)))) #s(literal 3/16 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) #s(literal 11/128 binary64))))))

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

Calls

7 calls:

12.0ms	(hypot.f64 #s(literal 1 binary64) x)
11.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
11.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
10.0ms	x
10.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes54.0ms (1.1%)

Memory

9.3MiB live, 108.8MiB allocated; 13ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) #s(literal 11/128 binary64))))))

Calls

7 calls:

11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes51.0ms (1%)

Memory

21.1MiB live, 114.1MiB allocated; 13ms collecting garbage

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

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

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) #s(literal 11/128 binary64))))))

Calls

7 calls:

10.0ms	x
10.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
7.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.2%	2	`x`
99.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes44.0ms (0.9%)

Memory

0.7MiB live, 97.8MiB allocated; 8ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 #s(literal -1843/32768 binary64) (.f64 x x)))) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1 binary64)))))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(approx (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (*.f64 x x)))) #s(literal 11/128 binary64))))))

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

Calls

7 calls:

10.0ms	x
7.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.1%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.1%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.1%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes68.0ms (1.4%)

Memory

-30.9MiB live, 63.3MiB allocated; 3ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64))))))

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

Calls

7 calls:

40.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	x
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes53.0ms (1.1%)

Memory

5.4MiB live, 56.4MiB allocated; 3ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 11/128 binary64) (.f64 #s(literal 69/1024 binary64) (.f64 x x)))) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64))))))

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

Calls

7 calls:

26.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
5.0ms	x
5.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.3%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes27.0ms (0.5%)

Memory

10.7MiB live, 55.4MiB allocated; 4ms collecting garbage

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))
#s(approx (/ (- 1 (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64))))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(approx (- 11/128 (* 69/1024 (* x x))) #s(literal 11/128 binary64))) #s(literal 1/8 binary64))))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))))

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

Calls

7 calls:

6.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
97.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.8%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes89.0ms (1.8%)

Memory

-0.0MiB live, 45.6MiB allocated; 4ms collecting garbage

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -11/128 binary64) (.f64 x x)))))

Outputs

#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (*.f64 x x)))))

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

Calls

7 calls:

74.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
97.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.1%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.1%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.1%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes19.0ms (0.4%)

Memory

-7.7MiB live, 36.3MiB allocated; 5ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (+ (/ 1/2 x) 1/2) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (/ (+ (* 2 (sqrt (+ (* x x) 1))) 2) (* 2 (sqrt (+ (* x x) 1)))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
96.2%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
96.2%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
96.2%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
96.2%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
96.2%	2	`(hypot.f64 #s(literal 1 binary64) x)`
96.2%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
96.2%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes8.0ms (0.2%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
50.0%	1	`(hypot.f64 #s(literal 1 binary64) x)`
50.0%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
50.0%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
50.0%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
50.0%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
50.0%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
50.0%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes16.0ms (0.3%)

Memory

-38.4MiB live, 19.9MiB allocated; 11ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

10.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Results

Accuracy	Segments	Branch
21.6%	1	`(hypot.f64 #s(literal 1 binary64) x)`
21.6%	1	`x`
21.6%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
21.6%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
21.6%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
21.6%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
21.6%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch9.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.024543267063250867	0.05719606357920027

Samples

5.0ms

80×

valid

Compiler

Compiled 465 to 278 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 1.0ms (33% of total)

ival-sqrt: 1.0ms (33% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.024543267063250867	0.05719606357920027

Compiler

Compiled 400 to 213 computations (46.8% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7073083015153281	0.9420216982304932

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7073083015153281	0.9420216982304932

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch42.0ms (0.8%)

Memory

-33.3MiB live, 13.7MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	0.024543267063250867	0.05719606357920027

Samples

3.0ms

48×

valid

Compiler

Compiled 330 to 203 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (51.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0046549766641984175	0.024543267063250867

Samples

5.0ms	80×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 356 to 223 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-hypot: 2.0ms (43.4% of total)

ival-div!: 1.0ms (21.7% of total)

ival-sqrt: 1.0ms (21.7% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sub!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8159350763665824	1754.1801484152732

Samples

7.0ms

128×

valid

Compiler

Compiled 652 to 365 computations (44% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-hypot: 2.0ms (41.9% of total)

ival-sqrt: 1.0ms (21% of total)

ival-div!: 1.0ms (21% of total)

ival-mult!: 1.0ms (21% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Memory

-34.8MiB live, 11.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.8159350763665824	1754.1801484152732

Samples

17.0ms

32×

valid

Compiler

Compiled 604 to 341 computations (43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub!: 15.0ms (90.9% of total)

ival-hypot: 1.0ms (6.1% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8159350763665824	1754.1801484152732

Compiler

Compiled 460 to 309 computations (32.8% saved)

bsearch8.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.8159350763665824	1754.1801484152732

Samples

4.0ms

64×

valid

Compiler

Compiled 412 to 285 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-hypot: 1.0ms (40.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

derivations224.0ms (4.5%)

Memory

-13.1MiB live, 267.5MiB allocated; 40ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 819 to 131 computations (84% saved)

preprocess152.0ms (3%)

Memory: 27.1MiB live, 214.3MiB allocated; 18ms collecting garbage
Remove: (abs x)
Compiler: Compiled 3 300 to 1 154 computations (65% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (44.8%)

explain162.0ms (3.2%)

preprocess111.0ms (2.2%)

series7.0ms (0.1%)

rewrite197.0ms (3.9%)

eval17.0ms (0.3%)

prune16.0ms (0.3%)

series25.0ms (0.5%)

rewrite86.0ms (1.7%)

eval40.0ms (0.8%)

prune25.0ms (0.5%)

series48.0ms (1%)

rewrite237.0ms (4.7%)

eval130.0ms (2.6%)

prune28.0ms (0.6%)

series52.0ms (1%)

rewrite246.0ms (4.9%)

eval206.0ms (4.1%)

prune44.0ms (0.9%)

regimes94.0ms (1.9%)

regimes73.0ms (1.5%)

regimes54.0ms (1.1%)

regimes51.0ms (1%)

regimes44.0ms (0.9%)

regimes68.0ms (1.4%)

regimes53.0ms (1.1%)

regimes27.0ms (0.5%)

regimes89.0ms (1.8%)

regimes19.0ms (0.4%)

regimes8.0ms (0.2%)

regimes16.0ms (0.3%)

bsearch9.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch42.0ms (0.8%)

bsearch12.0ms (0.2%)

bsearch14.0ms (0.3%)

bsearch20.0ms (0.4%)

bsearch1.0ms (0%)

bsearch8.0ms (0.2%)

derivations224.0ms (4.5%)

preprocess152.0ms (3%)

end0.0ms (0%)

Profiling