Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample2.8s (31.7%)

Memory

-53.6MiB live, 2 890.1MiB allocated; 2.0s collecting garbage

Samples

1.7s	2 946×	2	valid
429.0ms	4 102×	0	valid
250.0ms	1 208×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-hypot: 1.1s (54.4% of total)

adjust: 225.0ms (10.9% of total)

ival-sqrt: 213.0ms (10.3% of total)

ival-mult: 158.0ms (7.6% of total)

ival-add: 124.0ms (6% of total)

ival-div: 123.0ms (5.9% of total)

ival-sub: 84.0ms (4.1% of total)

exact: 8.0ms (0.4% of total)

ival-true: 6.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain204.0ms (2.3%)

Memory

0.8MiB live, 379.0MiB allocated; 56ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(-.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	-	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
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	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	-	-	`#s(literal 1/2 binary64)`
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	70	0

Confusion

	Predicted +	Predicted -
+	70	0
-	0	186

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	70	0	0
-	0	0	186

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	186
1	70

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms	196×	2	valid
24.0ms	250×	0	valid
12.0ms	66×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-hypot: 22.0ms (29.8% of total)

ival-sqrt: 16.0ms (21.7% of total)

adjust: 12.0ms (16.2% of total)

ival-div: 7.0ms (9.5% of total)

ival-mult: 6.0ms (8.1% of total)

ival-sub: 5.0ms (6.8% of total)

ival-add: 5.0ms (6.8% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess15.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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))))))

Outputs

(-.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))))))

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

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(-.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))))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	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)))))
cost-diff	0	(-.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))))))
cost-diff	2	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	49
1	35	43
2	65	43
3	105	43
4	137	43
5	144	43
0	144	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize86.0ms (1%)

Memory

-4.7MiB live, 85.6MiB allocated; 36ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(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)))))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	15.87553512722945	(-.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))))))

Samples

37.0ms	98×	2	valid
34.0ms	125×	0	valid
6.0ms	33×	1	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-hypot: 44.0ms (66.4% of total)

adjust: 6.0ms (9.1% of total)

ival-div: 4.0ms (6% of total)

ival-sqrt: 4.0ms (6% of total)

ival-mult: 4.0ms (6% of total)

ival-sub: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

5 → 54

Calls

Call 1

Inputs
(*.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 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))))))
(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 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))

Outputs
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	inf	((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	-inf	((* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (/ 1 (sqrt (+ (* 1 1) (* x x)))))

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify218.0ms (2.4%)

Memory

10.7MiB live, 205.9MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(+ 1 (/ 1 x))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64) (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 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)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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))))))
(fma.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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))))))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 2 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/16 binary64) (-.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))))
(fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/16 binary64) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x)
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))

rewrite188.0ms (2.1%)

Memory

-1.8MiB live, 230.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30

Stop Event

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

Counts

5 → 280

Calls

Call 1

Inputs
(*.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 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))))))
(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 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))

Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) (cosh.f64 (atanh.f64 x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) (-.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (cosh.f64 (atanh.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (fma.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (tanh.f64 (asinh.f64 x)) #s(literal 2 binary64))) (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (+.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cosh.f64 (atanh.f64 x)))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(neg.f64 (neg.f64 (cosh.f64 (atanh.f64 x))))
(fma.f64 (tanh.f64 (asinh.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cosh.f64 (atanh.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (acos.f64 (neg.f64 (tanh.f64 (asinh.f64 x)))))
(sin.f64 (acos.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))))
(sin.f64 (acos.f64 (sin.f64 (neg.f64 (atan.f64 x)))))
(sin.f64 (acos.f64 (fabs.f64 (tanh.f64 (asinh.f64 x)))))
(sin.f64 (acos.f64 (tanh.f64 (asinh.f64 x))))
(sin.f64 (+.f64 (neg.f64 (atan.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))
(cosh.f64 (atanh.f64 (exp.f64 (log.f64 x))))
(cosh.f64 (atanh.f64 (neg.f64 x)))
(cosh.f64 (atanh.f64 x))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) (sinh.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))
(fabs.f64 (neg.f64 (cosh.f64 (atanh.f64 x))))
(fabs.f64 (cosh.f64 (atanh.f64 x)))
(cos.f64 (asin.f64 (neg.f64 (tanh.f64 (asinh.f64 x)))))
(cos.f64 (asin.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (atan.f64 x)))))
(cos.f64 (asin.f64 (sin.f64 (neg.f64 (atan.f64 x)))))
(cos.f64 (asin.f64 (fabs.f64 (tanh.f64 (asinh.f64 x)))))
(cos.f64 (asin.f64 (tanh.f64 (asinh.f64 x))))
(cos.f64 (atan.f64 (exp.f64 (log.f64 x))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (cosh.f64 (atanh.f64 x))))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (tanh.f64 (asinh.f64 x)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cosh.f64 (atanh.f64 x)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))) (sinh.f64 (log.f64 (cosh.f64 (atanh.f64 x)))))

eval47.0ms (0.5%)

Memory: -5.9MiB live, 81.8MiB allocated; 16ms collecting garbage
Compiler: Compiled 8 248 to 1 577 computations (80.9% saved)

prune19.0ms (0.2%)

Memory

-3.9MiB live, 53.8MiB allocated; 6ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	319	15	334
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	15	335

Accuracy

75.6%

Counts

335 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	2.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))
	27.3%	(-.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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))))
	47.7%	(-.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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
	27.8%	(-.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)))))
	27.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	48.7%	(-.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)))))
	28.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	48.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
	48.9%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
	27.3%	(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
▶	48.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
▶	2.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))

Compiler

Compiled 846 to 554 computations (34.5% saved)

simplify182.0ms (2%)

Memory

25.6MiB live, 299.0MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
cost-diff	3	(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
cost-diff	3	(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(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))))
cost-diff	0	(-.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)))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	329
0	75	329
1	126	313
2	280	303
3	826	303
4	2907	299
5	6017	299
0	8285	292

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) 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))))
#s(literal 1 binary64)
(sqrt.f64 #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)))))) #s(literal 1/2 binary64))
#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)))))
#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))))
#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)
#s(literal 1/2 binary64)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
#s(literal 1/4 binary64)
(.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -11/64 binary64)
x
(*.f64 x x)
#s(literal 1 binary64)

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) 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))))
#s(literal 1 binary64)
(sqrt.f64 #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)))))) #s(literal 1/2 binary64))
#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)))))
#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))))
#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)
#s(literal 1/2 binary64)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 (fma.f64 (*.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
(.f64 (fma.f64 (.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1/4 binary64)
(.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)
(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal -11/64 binary64)
x
(*.f64 x x)
#s(literal 1 binary64)

localize288.0ms (3.2%)

Memory

-23.7MiB live, 507.0MiB allocated; 62ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2421875	(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
accuracy	1.0	(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	30.868605926114075	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
accuracy	31.65590951952157	(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.01171875	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.43359375	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	1.0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	32.569725343617215	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0078125	(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))))
accuracy	15.87553512722945	(-.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)))))
accuracy	31.32858392214191	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	15.87553512722945	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	27.500172655315698	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.00390625	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	15.87553512722945	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Samples

175.0ms	98×	2	valid
40.0ms	33×	1	valid
33.0ms	125×	0	valid

Compiler

Compiled 342 to 39 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

adjust: 58.0ms (29.7% of total)

ival-sqrt: 49.0ms (25.1% of total)

ival-mult: 25.0ms (12.8% of total)

ival-sub: 18.0ms (9.2% of total)

ival-div: 17.0ms (8.7% of total)

ival-hypot: 13.0ms (6.6% of total)

ival-add: 12.0ms (6.1% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series13.0ms (0.1%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Counts

22 → 79

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #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)))))) #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)))))
(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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* x (- 1 (sqrt 1/2)))) x)
(/ (sqrt 1/2) x)
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2))))
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))))
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2)))))))
(* 1/4 (sqrt 1/2))
(+ (* -11/64 (* (pow x 2) (sqrt 1/2))) (* 1/4 (sqrt 1/2)))
(* -11/64 (* x (sqrt 1/2)))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(* (pow x 4) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 4))) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (+ (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 4))))))
(* -11/64 (* (pow x 2) (sqrt 1/2)))
(* (pow x 2) (+ (* -11/64 (sqrt 1/2)) (* 1/4 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x 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 (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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (- 1 (sqrt 1/2)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x))
4.0ms	x	@	0	((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x 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 (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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (- 1 (sqrt 1/2)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x))
3.0ms	x	@	-inf	((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x 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 (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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (- 1 (sqrt 1/2)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x))

Time

Variable

Point

Expression

4.0ms

inf

((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x 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 (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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (- 1 (sqrt 1/2)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x))

4.0ms

((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x 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 (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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (- 1 (sqrt 1/2)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x))

3.0ms

-inf

((- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x 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 (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) x) -1/2) (- 1 (sqrt 1/2))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (neg (sqrt 2)) (sqrt 1/2)) (+ (* (/ (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (sqrt 2)) (* x x)) 1)) (+ (* (sqrt 1/2) 1/4) (* (* (* -11/64 (sqrt 1/2)) x) x)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (neg (sqrt 2)) (- 1 (sqrt 1/2)) (* -11/64 (sqrt 1/2)) (* (* -11/64 (sqrt 1/2)) x))

simplify196.0ms (2.2%)

Memory

-31.0MiB live, 197.7MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	1320
1	1037	1210
2	3360	1135
0	8329	1085

Stop Event

1×	iter limit
1×	node limit

Counts

79 → 79

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(+ (* (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))))))
(+ (* (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))))))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/2 x)) x)
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* x (- 1 (sqrt 1/2)))) x)
(/ (sqrt 1/2) x)
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2))))
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))))
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2)))))))
(* 1/4 (sqrt 1/2))
(+ (* -11/64 (* (pow x 2) (sqrt 1/2))) (* 1/4 (sqrt 1/2)))
(* -11/64 (* x (sqrt 1/2)))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(+ (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)))))
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(* (pow x 4) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 4))) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (+ (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 4))))))
(* -11/64 (* (pow x 2) (sqrt 1/2)))
(* (pow x 2) (+ (* -11/64 (sqrt 1/2)) (* 1/4 (/ (sqrt 1/2) (pow x 2)))))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (.f64 #s(literal 11/128 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -69/1024 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 #s(literal 3/16 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/32 binary64)) #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (pow x 2)) 1/2)
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(fma.f64 (.f64 #s(literal 1/4 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/16 binary64)) #s(literal 1/2 binary64)))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 5/32 binary64) (.f64 x x)) #s(literal 3/16 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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)))
(-.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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))))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 x)) x)
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(* -1/2 (/ (sqrt 1/2) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt 1/2)) (* x (- 1 (sqrt 1/2)))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x)
(/ (sqrt 1/2) x)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x) x (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -11/64 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2)))))))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64))) (*.f64 x x) #s(literal 1 binary64)))
(* 1/4 (sqrt 1/2))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(+ (* -11/64 (* (pow x 2) (sqrt 1/2))) (* 1/4 (sqrt 1/2)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal -11/64 binary64) x) x #s(literal 1/4 binary64)))
(* -11/64 (* x (sqrt 1/2)))
(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(-.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(-.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) x)
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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)))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/16 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -3/16 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(* -11/64 (/ (* (pow x 4) (sqrt 1/2)) (sqrt 2)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/64 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow x 4) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2))))))
(.f64 (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 11/64 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 4))) (+ (* -11/64 (/ (sqrt 1/2) (sqrt 2))) (+ (* 1/4 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (/ 1 (pow x 4))))))
(fma.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 11/64 binary64)))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* -11/64 (* (pow x 2) (sqrt 1/2)))
(.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)
(* (pow x 2) (+ (* -11/64 (sqrt 1/2)) (* 1/4 (/ (sqrt 1/2) (pow x 2)))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -11/64 binary64))) x) x)
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))) x) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) #s(literal 1/2 binary64) #s(literal 1/16 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))) x))
(- 1/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 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))
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x))

rewrite233.0ms (2.6%)

Memory

22.2MiB live, 268.3MiB allocated; 141ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	254
0	75	238
1	293	228
2	2367	223
0	8663	210

Stop Event

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

Counts

22 → 357

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #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)))))) #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)))))
(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))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)

Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (fabs.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -11/64 binary64))
(.f64 (.f64 x #s(literal -11/64 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -11/64 binary64))
(.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)
(.f64 #s(literal -11/64 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -11/64 binary64) x))
(.f64 x (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))

eval83.0ms (0.9%)

Memory: -7.8MiB live, 182.5MiB allocated; 35ms collecting garbage
Compiler: Compiled 19 733 to 2 145 computations (89.1% saved)

prune25.0ms (0.3%)

Memory

-1.3MiB live, 51.9MiB allocated; 19ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	482	9	491
Fresh	9	1	10
Picked	1	4	5
Done	0	0	0
Total	492	14	506

Accuracy

100.0%

Counts

506 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
	49.5%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))
✓	48.7%	(-.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)))))
✓	48.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	28.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
	3.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
	51.9%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
▶	53.2%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	51.8%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
	53.2%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
▶	49.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	48.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))

Compiler

Compiled 806 to 465 computations (42.3% saved)

simplify126.0ms (1.4%)

Memory

6.4MiB live, 234.7MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
cost-diff	0	(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
cost-diff	0	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
cost-diff	0	#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
cost-diff	2	(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	2	(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
cost-diff	15	(-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
cost-diff	34	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	504
0	86	474
1	160	442
2	572	408
3	2848	408
0	9329	408

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
#s(literal -11/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(-.f64 (.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 x x)
x
#s(literal 11/128 binary64)
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

localize384.0ms (4.3%)

Memory

14.0MiB live, 544.9MiB allocated; 72ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.01171875	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.43359375	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	32.569725343617215	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	0.0390625	(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
accuracy	0.046875	(fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	0.10546875	(.f64 #s(literal 69/1024 binary64) (.f64 x x))
accuracy	29.963432544250754	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
accuracy	0.0390625	(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
accuracy	0.04296875	(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	0.046875	(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
accuracy	30.868605926114075	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
accuracy	15.87553512722945	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
accuracy	25.108783136041975	#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
accuracy	0.0859375	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
accuracy	0.47265625	(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
accuracy	0.4765625	(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
accuracy	15.510809905694323	(-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))

Samples

278.0ms	98×	2	valid
41.0ms	125×	0	valid
26.0ms	33×	1	valid

Compiler

Compiled 648 to 46 computations (92.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-pow: 157.0ms (50.2% of total)

adjust: 61.0ms (19.5% of total)

ival-mult: 28.0ms (8.9% of total)

ival-div: 19.0ms (6.1% of total)

ival-hypot: 14.0ms (4.5% of total)

ival-add: 12.0ms (3.8% of total)

ival-sqrt: 11.0ms (3.5% of total)

ival-sub: 10.0ms (3.2% of total)

exact: 1.0ms (0.3% of total)

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

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

series31.0ms (0.3%)

Memory

-1.6MiB live, 43.6MiB allocated; 5ms collecting garbage

Counts

21 → 123

Calls

Call 1

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

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 9/8 (pow x 2))
(* (pow x 2) (+ 9/8 (* -135/128 (pow x 2))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* 1047/1024 (pow x 2)) 135/128))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* (pow x 2) (+ 1047/1024 (* -32907/32768 (pow x 2)))) 135/128))))
3
(+ 3 (* -3/8 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
2
(+ 2 (* -1/4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(* 1/8 x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(* x (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
(/ (sqrt 1/2) x)
9
(+ 9 (* -9/4 (pow x 2)))
(+ 9 (* (pow x 2) (- (* 57/32 (pow x 2)) 9/4)))
(+ 9 (* (pow x 2) (- (* (pow x 2) (+ 57/32 (* -99/64 (pow x 2)))) 9/4)))
(+ 3 (* -3/2 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 85/64 (pow x 2)) 3/2)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 85/64 (* -319/256 (pow x 2)))) 3/2)))
(* 69/1024 (pow x 2))
(/ (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))
(- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4))))) (* (pow x 3) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1/4 (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))))))))))))
(- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow x 2))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (pow (sqrt 1/2) 3)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))))) (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (* (pow x 3) (sqrt 1/8)))) (+ (* -1/32 (/ (sqrt 1/8) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (pow x 3))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x) (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)))))))))))))
(+ 3/2 (sqrt 1/2))
(+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))))
3/2
(+ 3/2 (* 1/2 (/ 1 x)))
(- (+ 3/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 3/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 5))
(* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(pow (+ 3/2 (sqrt 1/2)) 2)
(+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))
(+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (* 2 (/ (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3))) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))))
(* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))
(+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x)))
(+ (* -1/32 (/ (sqrt 1/8) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x))))))
(- (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (* (pow x 3) (sqrt 1/8)))) (+ (* -1/32 (/ (sqrt 1/8) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x) (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)))))))))) (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (pow (sqrt 1/2) 3)))))
(- (+ (* -1 (/ (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
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(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))))) x))))
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(- 3/2 (* 1/2 (/ 1 x)))
(+ 3/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 3/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
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(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
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(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024)))
(* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4))))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (* 3/512 (/ 1 (* (sqrt 1/8) (pow (sqrt 1/2) 3))))) x)) (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) x)) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))

Calls

3 calls:

Time

Variable

Point

Expression

17.0ms

inf

((/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (* 69/1024 (* x x)))

5.0ms

-inf

((/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (* 69/1024 (* x x)))

4.0ms

((/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) x) (* (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) x) (+ (* (- (* 69/1024 (* x x)) 11/128) (* x x)) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (* 69/1024 (* x x)))

simplify188.0ms (2.1%)

Memory

18.9MiB live, 239.6MiB allocated; 50ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	5462
1	2416	4865
0	8281	4655

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 9/8 (pow x 2))
(* (pow x 2) (+ 9/8 (* -135/128 (pow x 2))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* 1047/1024 (pow x 2)) 135/128))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* (pow x 2) (+ 1047/1024 (* -32907/32768 (pow x 2)))) 135/128))))
3
(+ 3 (* -3/8 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
2
(+ 2 (* -1/4 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(* 1/8 x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(* x (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
(/ (sqrt 1/2) x)
9
(+ 9 (* -9/4 (pow x 2)))
(+ 9 (* (pow x 2) (- (* 57/32 (pow x 2)) 9/4)))
(+ 9 (* (pow x 2) (- (* (pow x 2) (+ 57/32 (* -99/64 (pow x 2)))) 9/4)))
(+ 3 (* -3/2 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 85/64 (pow x 2)) 3/2)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 85/64 (* -319/256 (pow x 2)))) 3/2)))
(* 69/1024 (pow x 2))
(/ (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))
(- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4))))) (* (pow x 3) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1/4 (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))))))))))))
(- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow x 2))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (pow (sqrt 1/2) 3)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))))) (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (* (pow x 3) (sqrt 1/8)))) (+ (* -1/32 (/ (sqrt 1/8) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/4 (/ 1 (pow x 3))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x) (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)))))))))))))
(+ 3/2 (sqrt 1/2))
(+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))))
3/2
(+ 3/2 (* 1/2 (/ 1 x)))
(- (+ 3/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 3/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 5))
(* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(pow (+ 3/2 (sqrt 1/2)) 2)
(+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))
(+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (* 2 (/ (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3))) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))))
(* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))
(+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x)))
(+ (* -1/32 (/ (sqrt 1/8) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x))))))
(- (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (* (pow x 3) (sqrt 1/8)))) (+ (* -1/32 (/ (sqrt 1/8) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x) (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)))))))))) (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (pow (sqrt 1/2) 3)))))
(- (+ (* -1 (/ (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4)))) x)) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
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(- (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (- (+ 1/2 (+ (* -1/32 (/ (sqrt 1/8) (* x (pow (sqrt 1/2) 3)))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* x (sqrt 1/8)))) (+ (* 1/4 (/ 1 (sqrt 1/2))) (+ (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* x (sqrt 1/8)))) (/ 1/32 (* x (pow (sqrt 1/2) 3)))))))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ 3/2 (+ (sqrt 1/2) (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (+ (* 3/512 (/ 1 (* (sqrt 1/8) (pow (sqrt 1/2) 3)))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (+ 1/4 (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))))) x)) (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))))))) x)) (* 1/4 (/ 1 (sqrt 1/2))))) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))))) x))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4) x)) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2))))) x))))
(- 3/2 (* 1/2 (/ 1 x)))
(+ 3/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 3/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024)))
(* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4))))))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(+ (* -2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) x)) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))))) x)) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (* 3/512 (/ 1 (* (sqrt 1/8) (pow (sqrt 1/2) 3))))) x)) (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) x)) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(* 9/8 (pow x 2))
(.f64 #s(literal 9/8 binary64) (.f64 x x))
(* (pow x 2) (+ 9/8 (* -135/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 x x) #s(literal 9/8 binary64)) x) x)
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* 1047/1024 (pow x 2)) 135/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1047/1024 binary64) (.f64 x x)) #s(literal 135/128 binary64)) (*.f64 x x) #s(literal 9/8 binary64)) x) x)
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* (pow x 2) (+ 1047/1024 (* -32907/32768 (pow x 2)))) 135/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -32907/32768 binary64) (.f64 x x) #s(literal 1047/1024 binary64)) x) x) #s(literal 135/128 binary64)) (.f64 x x) #s(literal 9/8 binary64)) (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 (* -3/8 (pow x 2)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))
(fma.f64 (-.f64 (.f64 #s(literal 35/128 binary64) (.f64 x x)) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -229/1024 binary64) (.f64 x x) #s(literal 35/128 binary64)) x) x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -11/128 (pow x 2)))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(* x (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x)
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
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(+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 x)) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) x)) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 x))) x) #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/16 binary64) #s(literal 9/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))))) x)) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 3/64 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/16 binary64) #s(literal 3/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64)))) x) #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/16 binary64) #s(literal 9/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (* 3/512 (/ 1 (* (sqrt 1/8) (pow (sqrt 1/2) 3))))) x)) (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) x)) (+ (* 3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))))) x)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -13/128 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 3/64 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/8 binary64))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))) (/.f64 #s(literal 3/512 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 3/64 binary64) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3/16 binary64) #s(literal 3/32 binary64))) (sqrt.f64 #s(literal 1/8 binary64))))) x) #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/16 binary64) #s(literal 9/32 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))) (neg.f64 x)))

rewrite376.0ms (4.2%)

Memory

10.6MiB live, 450.0MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	414
0	86	354
1	355	320
2	2940	320
0	10975	319

Stop Event

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

Counts

21 → 721

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
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(fma.f64 (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))
(-.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fabs.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fabs.f64 (-.f64 (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fabs.f64 (neg.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(fabs.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (fabs.f64 (.f64 #s(literal 69/1024 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 69/1024 binary64) x)) x)
(.f64 (.f64 #s(literal 69/1024 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 69/1024 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 69/1024 binary64)))
(.f64 #s(literal 69/1024 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 69/1024 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 69/1024 binary64) x)))
(.f64 x (.f64 #s(literal 69/1024 binary64) x))
(sqrt.f64 (*.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)))

eval235.0ms (2.6%)

Memory: -32.2MiB live, 400.0MiB allocated; 72ms collecting garbage
Compiler: Compiled 104 591 to 4 141 computations (96% saved)

prune30.0ms (0.3%)

Memory

15.2MiB live, 62.4MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	970	6	976
Fresh	4	1	5
Picked	2	3	5
Done	0	4	4
Total	976	14	990

Accuracy

100.0%

Counts

990 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
✓	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))
✓	48.7%	(-.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)))))
✓	48.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	29.2%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	28.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
	51.9%	#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
▶	53.2%	#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
▶	51.8%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	53.2%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	49.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	48.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
▶	49.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 081 to 436 computations (59.7% saved)

simplify107.0ms (1.2%)

Memory

20.7MiB live, 111.1MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff	0	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	0	(*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
cost-diff	19	(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	493
0	99	468
1	192	451
2	688	413
3	3531	413
0	8268	411

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 3/2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))
(pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
x
#s(literal -11/128 binary64)
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(literal 1/2 binary64)
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64))
(.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x)
(.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x)
(fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64))
#s(literal -69/1024 binary64)
(*.f64 x x)
x
#s(literal 11/128 binary64)
#s(literal 1/8 binary64)

localize419.0ms (4.7%)

Memory

4.8MiB live, 569.4MiB allocated; 64ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x)
accuracy	0.0703125	(.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x)
accuracy	15.87553512722945	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
accuracy	30.782190824793762	#s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64)))
accuracy	0.0	(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	32.569725343617215	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	33.35017916276636	#s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
accuracy	0.05859375	(.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy	30.868605926114075	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
accuracy	0.0	(.f64 (.f64 x x) #s(literal 1/8 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	29.954756246897098	#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
accuracy	0.0703125	(*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))))
accuracy	0.0859375	(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
accuracy	0.47265625	(pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
accuracy	15.454485489609914	(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))

Samples

245.0ms	96×	2	valid
88.0ms	125×	0	valid
42.0ms	33×	1	valid
6.0ms	2×	3	valid

Compiler

Compiled 582 to 54 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-pow: 128.0ms (38.8% of total)

ival-mult: 80.0ms (24.2% of total)

adjust: 44.0ms (13.3% of total)

ival-div: 20.0ms (6.1% of total)

ival-sub: 15.0ms (4.5% of total)

ival-add: 15.0ms (4.5% of total)

ival-hypot: 12.0ms (3.6% of total)

ival-sqrt: 10.0ms (3% of total)

ival-pow2: 5.0ms (1.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series49.0ms (0.5%)

Memory

-63.0MiB live, 20.7MiB allocated; 57ms collecting garbage

Counts

23 → 118

Calls

Call 1

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

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 9/8 (pow x 2))
(* (pow x 2) (+ 9/8 (* -135/128 (pow x 2))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* 1047/1024 (pow x 2)) 135/128))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* (pow x 2) (+ 1047/1024 (* -32907/32768 (pow x 2)))) 135/128))))
3
(+ 3 (* -3/8 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(pow x 2)
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
-1/8
(- (* 11/128 (pow x 2)) 1/8)
(- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)
(* 3/8 (pow x 2))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
9
(+ 9 (* -9/4 (pow x 2)))
(+ 9 (* (pow x 2) (- (* 57/32 (pow x 2)) 9/4)))
(+ 9 (* (pow x 2) (- (* (pow x 2) (+ 57/32 (* -99/64 (pow x 2)))) 9/4)))
(* 11/128 (pow x 2))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* 11/128 x)
(* x (+ 11/128 (* -69/1024 (pow x 2))))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8)))
(+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) x)))
(+ (* -1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) x))))))
(+ (* -1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* -1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (* (pow x 3) (sqrt 1/8)))) (+ (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (pow (sqrt 1/2) 3)))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) x) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)))))))))))
(+ 3/2 (sqrt 1/2))
(+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(/ (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))
(- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4))))) (* (pow x 3) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1/4 (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))))))))))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* -69/1024 (pow x 6))
(* (pow x 6) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 6) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(* (pow x 6) (- (+ (* 11/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(* -69/1024 (pow x 4))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(- 1 (sqrt 1/8))
(- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))
(- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(pow (+ 3/2 (sqrt 1/2)) 2)
(+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))
(+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (* 2 (/ (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3))) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))))
(* -69/1024 (pow x 3))
(* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
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(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))))) x))))
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(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
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(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
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(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(+ (* -2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) x)) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

37.0ms

inf

((/ (* (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (pow (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 2)) (* (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (* (* x x) 1/8) (* x x) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (+ (* (* x x) -11/128) 1/8) (* x x)) (+ (* (* x x) -11/128) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) 1/8) (* x x)) 1) (- (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) 1/8) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (pow (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 2) (sqrt 1/2) (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) (* (+ (* -69/1024 (* x x)) 11/128) x))

5.0ms

-inf

((/ (* (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (pow (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 2)) (* (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (* (* x x) 1/8) (* x x) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (+ (* (* x x) -11/128) 1/8) (* x x)) (+ (* (* x x) -11/128) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) 1/8) (* x x)) 1) (- (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) 1/8) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (pow (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 2) (sqrt 1/2) (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) (* (+ (* -69/1024 (* x x)) 11/128) x))

3.0ms

((/ (* (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (pow (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 2)) (* (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (* (* x x) 1/8) (* x x) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (* (+ (* (* x x) -11/128) 1/8) (* x x)) (+ (* (* x x) -11/128) 1/8) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/ 1/2 (+ (sqrt 1/2) 1)) (+ (sqrt 1/2) 1) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (- (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) 1/8) (* x x)) 1) (- (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) 1/8) (- 1 (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2)) (pow (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 3/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 2) (sqrt 1/2) (* (* (+ (* -69/1024 (* x x)) 11/128) x) x) (* (+ (* -69/1024 (* x x)) 11/128) x))

simplify231.0ms (2.6%)

Memory

27.9MiB live, 213.9MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	766	5864
1	2545	5059
0	8483	4845

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 118

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 9/8 (pow x 2))
(* (pow x 2) (+ 9/8 (* -135/128 (pow x 2))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* 1047/1024 (pow x 2)) 135/128))))
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* (pow x 2) (+ 1047/1024 (* -32907/32768 (pow x 2)))) 135/128))))
3
(+ 3 (* -3/8 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(pow x 2)
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(- (+ 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)))
(- (+ 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)))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))) x)
-1/8
(- (* 11/128 (pow x 2)) 1/8)
(- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)
(* 3/8 (pow x 2))
(* (pow x 2) (+ 3/8 (* -39/128 (pow x 2))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 275/1024 (pow x 2)) 39/128))))
(* (pow x 2) (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 275/1024 (* -8043/32768 (pow x 2)))) 39/128))))
9
(+ 9 (* -9/4 (pow x 2)))
(+ 9 (* (pow x 2) (- (* 57/32 (pow x 2)) 9/4)))
(+ 9 (* (pow x 2) (- (* (pow x 2) (+ 57/32 (* -99/64 (pow x 2)))) 9/4)))
(* 11/128 (pow x 2))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* 11/128 x)
(* x (+ 11/128 (* -69/1024 (pow x 2))))
(/ (- 1 (sqrt 1/8)) (+ 3/2 (sqrt 1/2)))
(- (+ (* -1 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))))))
(- (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ 1 (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (* (pow x 3) (+ 3/2 (sqrt 1/2)))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))))))))
(* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8)))
(+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) x)))
(+ (* -1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) x))))))
(+ (* -1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (sqrt 1/8)))) (+ (* -1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 2) (sqrt 1/8)))) (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (* x (sqrt 1/8)))) (+ (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (* (pow x 3) (sqrt 1/8)))) (+ (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (pow (sqrt 1/2) 3)))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) x) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3)))))))))))
(+ 3/2 (sqrt 1/2))
(+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(/ (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))) (pow (+ 3/2 (sqrt 1/2)) 2))
(- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4)))))))))
(- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 3/512 (* (pow x 3) (* (sqrt 1/8) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))))))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (pow x 3) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4))))) (* (pow x 3) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 2) (+ 3/2 (sqrt 1/2))))) (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1/4 (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))) (+ (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 4))) (+ (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (* (pow x 2) (pow (+ 3/2 (sqrt 1/2)) 4))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (* (pow x 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))))))))))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))
(- (+ 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)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* -69/1024 (pow x 6))
(* (pow x 6) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 6) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(* (pow x 6) (- (+ (* 11/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(* -69/1024 (pow x 4))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(- 1 (sqrt 1/8))
(- 1 (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ 1 (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8))))) (+ (sqrt 1/8) (/ 3/16 (* x (sqrt 1/8)))))
(- (+ 1 (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8))))) (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(pow (+ 3/2 (sqrt 1/2)) 2)
(+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))
(+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (* (pow x 3) (pow (sqrt 1/2) 3)))) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (+ (* 2 (/ (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow x 3))) (+ (/ (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2) (pow x 2)) (pow (+ 3/2 (sqrt 1/2)) 2))))))
(* -69/1024 (pow x 3))
(* (pow x 3) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(- (+ (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (/ 1 (+ 3/2 (sqrt 1/2))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/32 (/ (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))))) (+ 3/2 (sqrt 1/2))) (/ (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (+ (* -1 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))) (* -1/32 (/ (- 1 (sqrt 1/8)) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))))) x)) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))) (pow (+ 3/2 (sqrt 1/2)) 2)))) x)) (/ 1 (+ 3/2 (sqrt 1/2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8)))) x)) (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (+ (* -3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* -1/32 (/ (- 1 (sqrt 1/8)) (pow (sqrt 1/2) 3))))) x)) (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))))) x)) (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (+ (* 3/512 (/ 1 (* (sqrt 1/8) (pow (sqrt 1/2) 3)))) (+ (* 1/2 (/ (* (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (+ 3/2 (sqrt 1/2))) (sqrt 1/8))) (* (- 1 (sqrt 1/8)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4))))) x)) (+ (* -1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8))) (+ (* -3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* -1/32 (/ (- 1 (sqrt 1/8)) (pow (sqrt 1/2) 3)))))) x)) (+ (* -3/16 (/ (+ 3/2 (sqrt 1/2)) (sqrt 1/8))) (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 1 (sqrt 1/8))))) x)) (* (+ 3/2 (sqrt 1/2)) (- 1 (sqrt 1/8))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))))) x))))
(+ 3/2 (+ (sqrt 1/2) (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4) x)) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2))))) x))))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(- (+ (* -1 (/ (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4)))) x)) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (* -1 (/ (- (+ (* 3/512 (/ 1 (* (sqrt 1/8) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 1/4 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (* (sqrt 1/8) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* -1 (/ (+ (* -1/32 (/ (sqrt 1/8) (pow (sqrt 1/2) 3))) (+ (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (+ (* 3/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (sqrt 1/8))) (* 1/2 (/ (* (+ 3/2 (sqrt 1/2)) (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2))))) (sqrt 1/8)))))) (pow (+ 3/2 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4))))) (+ 3/2 (sqrt 1/2)))) (+ (/ (* (sqrt 1/8) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2)) (+ (/ (* (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4)) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (pow (+ 3/2 (sqrt 1/2)) 2))))))))) x))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2)))))) (+ 3/2 (sqrt 1/2)))) (/ (* (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 4)))) x)) (+ (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))))) (+ (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* 2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (+ 3/2 (sqrt 1/2)) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 3))) (/ (* (sqrt 1/8) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) (pow (+ 3/2 (sqrt 1/2)) 2))))) x)) (+ (* 3/2 (/ 1 (pow (+ 3/2 (sqrt 1/2)) 2))) (/ (sqrt 1/2) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (sqrt 1/8) (+ 3/2 (sqrt 1/2))))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(+ (* -2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) x)) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))
(* 9/8 (pow x 2))
(.f64 #s(literal 9/8 binary64) (.f64 x x))
(* (pow x 2) (+ 9/8 (* -135/128 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -135/128 binary64) (*.f64 x x) #s(literal 9/8 binary64)) x) x)
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* 1047/1024 (pow x 2)) 135/128))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1047/1024 binary64) (.f64 x x)) #s(literal 135/128 binary64)) (*.f64 x x) #s(literal 9/8 binary64)) x) x)
(* (pow x 2) (+ 9/8 (* (pow x 2) (- (* (pow x 2) (+ 1047/1024 (* -32907/32768 (pow x 2)))) 135/128))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -32907/32768 binary64) (.f64 x x) #s(literal 1047/1024 binary64)) x) x) #s(literal 135/128 binary64)) (.f64 x x) #s(literal 9/8 binary64)) (.f64 x x))
3
#s(literal 3 binary64)
(+ 3 (* -3/8 (pow x 2)))
(fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 35/128 (pow x 2)) 3/8)))
(fma.f64 (-.f64 (.f64 #s(literal 35/128 binary64) (.f64 x x)) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 35/128 (* -229/1024 (pow x 2)))) 3/8)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -229/1024 binary64) (.f64 x x) #s(literal 35/128 binary64)) x) x) #s(literal 3/8 binary64)) (.f64 x x) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (-.f64 (.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
1/8
#s(literal 1/8 binary64)
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(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/8 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 4 binary64))))) x) #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 (neg.f64 (sqrt.f64 #s(literal 1/8 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/16 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))))))) x) #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/32 binary64) (.f64 x x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (neg.f64 x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x)) (sqrt.f64 #s(literal 1/2 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))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.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)))) (neg.f64 x)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))) (sqrt 1/8))
(-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/8 binary64)))
(- (+ 1 (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/64 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) (sqrt 1/8))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -13/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 3/64 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) (neg.f64 x)) (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/8 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64)))
(+ (* -2 (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) x) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2)) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 x)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (pow (sqrt 1/2) 3))) (* 2 (* (+ 3/2 (sqrt 1/2)) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)))) x)) (+ (* -1/16 (/ (+ 3/2 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (pow (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) 2))) x)) (* 2 (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (+ 3/2 (sqrt 1/2))))) x)) (pow (+ 3/2 (sqrt 1/2)) 2))
(+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 x))) (neg.f64 x)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(* -1 (* (pow x 3) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))
(.f64 (neg.f64 (-.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal 11/128 binary64) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))

rewrite190.0ms (2.1%)

Memory

16.7MiB live, 248.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	432
0	99	405
1	444	374
2	3914	310
0	8177	307

Stop Event

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

Counts

23 → 494

Calls

Call 1

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

Outputs
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(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(fabs.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log1p.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (log1p.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x) x)
(.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -69/1024 binary64) (*.f64 x x) #s(literal 11/128 binary64)) x))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/16384 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -69/1024 binary64) (*.f64 x x)) #s(literal 11/128 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -328509/1073741824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1331/2097152 binary64)) (.f64 x x)) (fma.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) #s(literal -759/131072 binary64)))))
(.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x)
(.f64 x (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/16384 binary64)) x) (-.f64 (.f64 #s(literal -69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -328509/1073741824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1331/2097152 binary64)) x) (fma.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/16384 binary64) (.f64 (*.f64 x x) #s(literal -759/131072 binary64)))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/16384 binary64))) (-.f64 (.f64 #s(literal -69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -328509/1073741824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1331/2097152 binary64))) (fma.f64 #s(literal 4761/1048576 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 121/16384 binary64) (.f64 (*.f64 x x) #s(literal -759/131072 binary64)))))
(fma.f64 (.f64 #s(literal -69/1024 binary64) (.f64 x x)) x (*.f64 #s(literal 11/128 binary64) x))
(fma.f64 #s(literal 11/128 binary64) x (.f64 (.f64 #s(literal -69/1024 binary64) (*.f64 x x)) x))
(fma.f64 x (.f64 #s(literal -69/1024 binary64) (.f64 x x)) (*.f64 x #s(literal 11/128 binary64)))
(fma.f64 x #s(literal 11/128 binary64) (.f64 x (.f64 #s(literal -69/1024 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -69/1024 binary64) (.f64 x x)) x) (.f64 #s(literal 11/128 binary64) x))
(+.f64 (.f64 #s(literal 11/128 binary64) x) (.f64 (.f64 #s(literal -69/1024 binary64) (.f64 x x)) x))
(+.f64 (.f64 x (.f64 #s(literal -69/1024 binary64) (.f64 x x))) (.f64 x #s(literal 11/128 binary64)))
(+.f64 (.f64 x #s(literal 11/128 binary64)) (.f64 x (.f64 #s(literal -69/1024 binary64) (.f64 x x))))

eval169.0ms (1.9%)

Memory: -13.3MiB live, 323.3MiB allocated; 63ms collecting garbage
Compiler: Compiled 54 067 to 3 156 computations (94.2% saved)

prune48.0ms (0.5%)

Memory

3.0MiB live, 140.1MiB allocated; 9ms collecting garbage

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	809	0	809
Fresh	0	2	2
Picked	0	5	5
Done	0	7	7
Total	809	14	823

Accuracy

100.0%

Counts

823 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.2%	(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
✓	75.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	47.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))
✓	48.7%	(-.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)))))
✓	48.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	29.2%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
✓	28.3%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
	51.9%	#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
✓	53.2%	#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
✓	51.8%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
✓	53.2%	#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	49.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	48.4%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	49.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 804 to 503 computations (72.1% saved)

regimes52.0ms (0.6%)

Memory

0.7MiB live, 104.8MiB allocated; 7ms collecting garbage

Counts

31 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.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(literal 1 binary64))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* 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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #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) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)))) (cosh.f64 (asinh.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64)) (cosh.f64 (atanh.f64 x)) #s(literal 1 binary64))))))))

Outputs

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

(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))

Calls

7 calls:

9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(-.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))))))
8.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(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
99.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	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)))))`
99.9%	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))))))`
99.9%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes76.0ms (0.8%)

Memory

2.1MiB live, 94.7MiB allocated; 5ms collecting garbage

Counts

29 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.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(literal 1 binary64))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 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 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* 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 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.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 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) x) x) #s(literal 1/8 binary64)) (.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 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 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 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)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -69/512 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #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) (hypot.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 69/1024 binary64) x) x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1843/32768 binary64)) #s(literal 11/128 binary64))) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (cosh.f64 (atanh.f64 x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))

Outputs

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

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

Calls

7 calls:

34.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
9.0ms	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
99.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.7%	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)))))`
99.7%	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))))))`
99.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes48.0ms (0.5%)

Memory

-11.5MiB live, 37.2MiB allocated; 6ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

22.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	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
99.2%	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)

regimes52.0ms (0.6%)

Memory

8.2MiB live, 51.8MiB allocated; 6ms collecting garbage

Counts

17 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (*.f64 x x) #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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))

Calls

7 calls:

27.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	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	(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)

regimes32.0ms (0.4%)

Memory

22.7MiB live, 64.3MiB allocated; 6ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

(-.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)))))

Calls

7 calls:

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))))
5.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms	(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
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)

regimes24.0ms (0.3%)

Memory

-7.1MiB live, 38.0MiB allocated; 3ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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	x
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(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
99.0%	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)

regimes59.0ms (0.7%)

Memory

-31.0MiB live, 28.4MiB allocated; 5ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

43.0ms	(*.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	(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
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	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)))))`
98.7%	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))))))`
98.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes16.0ms (0.2%)

Memory

30.2MiB live, 30.2MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.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(literal 1 binary64))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x)))

Outputs

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

2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(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
98.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.0%	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)))))`
98.0%	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))))))`
98.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes16.0ms (0.2%)

Memory

-17.4MiB live, 27.8MiB allocated; 2ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
#s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.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(literal 1 binary64))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))

Outputs

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

3.0ms	(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	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
2.0ms	(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
98.0%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.0%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.0%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.0%	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)))))`
98.0%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.0%	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))))))`
98.0%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes51.0ms (0.6%)

Memory

-13.5MiB live, 31.2MiB allocated; 4ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

(-.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:

40.0ms	(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	(-.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))))))
2.0ms	(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
97.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
97.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.7%	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)))))`
97.7%	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))))))`
97.7%	2	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes10.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

2.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (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	(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
53.2%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
53.2%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
53.2%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
53.2%	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)))))`
53.2%	1	`(hypot.f64 #s(literal 1 binary64) x)`
53.2%	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))))))`
53.2%	1	`x`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	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
28.3%	1	`(hypot.f64 #s(literal 1 binary64) x)`
28.3%	1	`x`
28.3%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
28.3%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
28.3%	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)))))`
28.3%	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))))))`
28.3%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch29.0ms (0.3%)

Memory

-1.4MiB live, 42.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.018622485210915418	925.163604259488

Samples

9.0ms

128×

valid

Compiler

Compiled 1 948 to 421 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-hypot: 2.0ms (32.9% of total)

ival-div: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

ival-mult: 1.0ms (16.4% of total)

ival-sub: 1.0ms (16.4% of total)

ival-sqrt: 1.0ms (16.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.018622485210915418	925.163604259488

Samples

7.0ms

96×

valid

Compiler

Compiled 1 492 to 453 computations (69.6% saved)

Precisions

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

ival-hypot: 2.0ms (41.6% of total)

ival-div: 1.0ms (20.8% of total)

ival-mult: 1.0ms (20.8% of total)

ival-sqrt: 1.0ms (20.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory

-43.8MiB live, 19.3MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.018622485210915418	925.163604259488

Samples

13.0ms

80×

valid

Compiler

Compiled 1 452 to 437 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (25.3% of total)

ival-hypot: 1.0ms (25.3% of total)

ival-sqrt: 1.0ms (25.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.018622485210915418	925.163604259488

Compiler

Compiled 1 436 to 421 computations (70.7% saved)

bsearch4.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.018622485210915418	925.163604259488

Samples

1.0ms

16×

valid

Compiler

Compiled 460 to 341 computations (25.9% saved)

Precisions

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

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018622485210915418	925.163604259488

Compiler

Compiled 412 to 309 computations (25% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018622485210915418	925.163604259488

Compiler

Compiled 532 to 381 computations (28.4% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018622485210915418	925.163604259488

Compiler

Compiled 380 to 293 computations (22.9% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.018622485210915418	925.163604259488

Compiler

Compiled 380 to 301 computations (20.8% saved)

bsearch5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.018622485210915418	925.163604259488

Samples

2.0ms

32×

valid

Compiler

Compiled 340 to 277 computations (18.5% saved)

Precisions

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

ival-hypot: 1.0ms (65.2% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify47.0ms (0.5%)

Memory

3.1MiB live, 91.8MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1041
1	199	933
2	585	733
3	2732	733

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 1224979098644775/36028797018963968 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.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))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #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)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) 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)))))
(if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))

Outputs
(if (<=.f64 x #s(literal 1224979098644775/36028797018963968 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(if (<=.f64 x #s(literal 1224979098644775/36028797018963968 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (/ (- (* 1 (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (pow (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 3/2))) (* (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (+ 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x) #s(literal 11/128 binary64)) (.f64 x x) #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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 69/1024 binary64) (.f64 x x)) #s(literal 11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.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))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #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)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(approx (+ (* (/ (sqrt 1/2) x) -1/2) (/ 1/2 (+ (sqrt 1/2) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #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)))))
(if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) 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)))))
(if (<=.f64 x #s(literal 3/2 binary64)) #s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64)))

derivations1.1s (11.9%)

Memory

-26.6MiB live, 935.2MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	735	5462
1	2416	4865
0	8281	4655
0	9	43
0	18	33
1	82	33
2	609	33
3	6358	33
0	8243	30
0	332	1320
1	1037	1210
2	3360	1135
0	8329	1085
0	206	845
1	633	767
2	1960	714
3	7820	714
0	8462	676
0	53	414
0	86	354
1	355	320
2	2940	320
0	10975	319
0	45	254
0	75	238
1	293	228
2	2367	223
0	8663	210

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 155 to 121 computations (89.5% saved)

preprocess118.0ms (1.3%)

Memory: -10.1MiB live, 85.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 820 to 360 computations (87.2% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10

start0.0ms (0%)

analyze0.0ms (0%)

sample2.8s (31.7%)

explain204.0ms (2.3%)

preprocess15.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize86.0ms (1%)

series5.0ms (0.1%)

simplify218.0ms (2.4%)

rewrite188.0ms (2.1%)

eval47.0ms (0.5%)

prune19.0ms (0.2%)

simplify182.0ms (2%)

localize288.0ms (3.2%)

series13.0ms (0.1%)

simplify196.0ms (2.2%)

rewrite233.0ms (2.6%)

eval83.0ms (0.9%)

prune25.0ms (0.3%)

simplify126.0ms (1.4%)

localize384.0ms (4.3%)

series31.0ms (0.3%)

simplify188.0ms (2.1%)

rewrite376.0ms (4.2%)

eval235.0ms (2.6%)

prune30.0ms (0.3%)

simplify107.0ms (1.2%)

localize419.0ms (4.7%)

series49.0ms (0.5%)

simplify231.0ms (2.6%)

rewrite190.0ms (2.1%)

eval169.0ms (1.9%)

prune48.0ms (0.5%)

regimes52.0ms (0.6%)

regimes76.0ms (0.8%)

regimes48.0ms (0.5%)

regimes52.0ms (0.6%)

regimes32.0ms (0.4%)

regimes24.0ms (0.3%)

regimes59.0ms (0.7%)

regimes16.0ms (0.2%)

regimes16.0ms (0.2%)

regimes51.0ms (0.6%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch13.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch2.0ms (0%)

bsearch4.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

simplify47.0ms (0.5%)

derivations1.1s (11.9%)

preprocess118.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	31
1	37	27
2	70	27
3	95	27
4	127	27
5	134	27
0	9	12
0	18	12
1	35	10
2	65	10
3	105	10
4	137	10
5	144	10
0	144	10