Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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)

sample1.6s (14.2%)

Memory

0.9MiB live, 3 108.2MiB allocated

Samples

750.0ms	2 825×	2	valid
341.0ms	4 181×	0	valid
191.0ms	1 250×	1	valid

Precisions

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

ival-hypot: 393.0ms (38.8% of total)

ival-div: 121.0ms (11.9% of total)

ival-mult: 116.0ms (11.5% of total)

ival-sqrt: 113.0ms (11.2% of total)

adjust: 111.0ms (11% of total)

ival-add: 73.0ms (7.2% of total)

ival-sub: 71.0ms (7% of total)

exact: 7.0ms (0.7% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain162.0ms (1.4%)

Memory

11.6MiB live, 364.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
56	1	(1.6264254476349042e-161)	-	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
0	0	-	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	0	-	-	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	0	-	-	`#s(literal 1/2 binary64)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`	cancellation	57	0

Confusion

	Predicted +	Predicted -
+	56	0
-	1	199

Precision

0.9824561403508771

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	56	0	0
-	1	0	199

Precision?

0.9824561403508771

Recall?

1.0

Freqs

test

number	freq
0	199
1	57

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

48.0ms	160×	2	valid
20.0ms	276×	0	valid
14.0ms	76×	1	valid

Compiler

Compiled 175 to 31 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-hypot: 25.0ms (42.2% of total)

adjust: 6.0ms (10.1% of total)

ival-div: 6.0ms (10.1% of total)

ival-sqrt: 6.0ms (10.1% of total)

ival-mult: 5.0ms (8.4% of total)

ival-sub: 4.0ms (6.8% of total)

ival-add: 4.0ms (6.8% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess21.0ms (0.2%)

Memory

4.2MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`lower-+.f32`
34×	`lower-+.f64`
28×	`sub-neg`
26×	`associate--r+`
24×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	120	26
4	172	26
5	204	26
6	216	26
0	9	12
0	18	12
1	31	10
2	38	10
3	43	10
4	49	10
5	57	10
6	67	10
7	78	10
8	81	10
0	81	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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))

Symmetry

(abs x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(-.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 13 to 9 computations (30.8% saved)

simplify6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	320	(*.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	5440	(hypot.f64 #s(literal 1 binary64) x)

Rules

36×	`lower-+.f32`
34×	`lower-+.f64`
18×	`lower-fma.f64`
18×	`lower-fma.f32`
18×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	49
1	31	43
2	38	43
3	43	43
4	49	43
5	57	43
6	67	43
7	78	43
8	81	43
0	81	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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
#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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
#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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 #s(literal 1 binary64) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
x

localize82.0ms (0.7%)

Memory

-29.5MiB live, 87.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.00390625	(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	13.133831393783888	(-.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

30.0ms	80×	2	valid
28.0ms	38×	1	valid
11.0ms	138×	0	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-hypot: 33.0ms (67% of total)

adjust: 3.0ms (6.1% of total)

ival-div: 3.0ms (6.1% of total)

ival-sqrt: 3.0ms (6.1% of total)

ival-mult: 3.0ms (6.1% of total)

ival-sub: 2.0ms (4.1% of total)

ival-add: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

6 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))
0.0ms	x	@	-inf	(+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))
0.0ms	x	@	inf	(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))
0.0ms	x	@	0	(sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))
0.0ms	x	@	inf	(sqrt (+ (* 1 1) (* x x)))

simplify363.0ms (3.2%)

Memory

20.0MiB live, 526.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 216×	`lower-fma.f64`
12 216×	`lower-fma.f32`
5 034×	`lower-*.f64`
5 034×	`lower-*.f32`
2 790×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	991
1	674	917
2	1886	877
3	5889	834
0	8210	781

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

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

rewrite378.0ms (3.3%)

Memory

25.6MiB live, 524.8MiB allocated

Rules

4 098×	`lower-fma.f64`
4 098×	`lower-fma.f32`
3 010×	`lower-*.f32`
3 008×	`lower-*.f64`
1 830×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
0	18	46
1	78	40
2	562	40
3	5208	40
0	8823	40

Stop Event

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

Counts

6 → 478

Calls

Call 1

Inputs
(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 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 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x x))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.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)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (fma.f64 (.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(*.f64 (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 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (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 (.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) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))
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eval81.0ms (0.7%)

Memory: -11.0MiB live, 180.0MiB allocated
Compiler: Compiled 15 990 to 2 306 computations (85.6% saved)

prune101.0ms (0.9%)

Memory

0.9MiB live, 312.1MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	527	22	549
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	528	22	550

Accuracy

80.8%

Counts

550 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
	79.0%	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
	55.1%	(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))
▶	80.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	79.5%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	80.3%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	80.3%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 9/2 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	80.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	53.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	54.0%	(/.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 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
▶	80.3%	(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	52.4%	(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))))
	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))
	79.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	53.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))))))))
	53.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))))
▶	27.8%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
	27.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
	28.1%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))

Compiler

Compiled 1 994 to 566 computations (71.6% saved)

simplify468.0ms (4.1%)

Memory

-24.5MiB live, 661.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
cost-diff	128	(neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	128	(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
cost-diff	128	(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 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 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	768	(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
cost-diff	2944	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	5376	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))

Rules

16 698×	`lower-fma.f32`
16 692×	`lower-fma.f64`
3 620×	`lower--.f32`
3 614×	`lower--.f64`
3 486×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	616
0	75	647
1	148	635
2	349	548
3	1007	518
4	3710	517
0	8509	516

Stop Event

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

Calls

Call 1

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

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

localize222.0ms (1.9%)

Memory

5.5MiB live, 351.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	0.078125	(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	12.634355264895701	(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	13.942836345968695	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.01171875	(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	0.015625	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
accuracy	12.619905670588844	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
accuracy	13.942836345968695	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.046875	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
accuracy	0.0703125	(fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64))
accuracy	13.133831393783888	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
accuracy	32.56852511193759	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy	0.00390625	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	13.133831393783888	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	25.607658749695737	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0.02734375	(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	12.638116489645416	(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	13.942836345968695	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

Samples

79.0ms	80×	2	valid
40.0ms	138×	0	valid
27.0ms	38×	1	valid

Compiler

Compiled 637 to 42 computations (93.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

adjust: 21.0ms (19.7% of total)

ival-add: 21.0ms (19.7% of total)

ival-hypot: 20.0ms (18.8% of total)

ival-mult: 15.0ms (14.1% of total)

ival-div: 14.0ms (13.1% of total)

ival-sqrt: 6.0ms (5.6% of total)

ival-sub: 5.0ms (4.7% of total)

ival-neg: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series41.0ms (0.4%)

Memory

20.8MiB live, 58.3MiB allocated

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))>
#<alt (- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 4)))))))))))>
#<alt (- (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3)))))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 4))) (/ (* (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (- (/ (* (+ 1 (sqrt 1/2)) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4)) (sqrt 1/2)) (* 1/64 (/ 1 (pow (sqrt 1/2) 4))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 4)))))))))))))))>
#<alt (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))>
#<alt (- (+ (* -1 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) x)) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (+ 1 (sqrt 1/2))))>
#<alt (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) x)) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (+ 1 (sqrt 1/2))))>
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#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))>
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#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4))>
#<alt -1/2>
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#<alt (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3))))>
#<alt (- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3))))>
#<alt -1/2>
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#<alt (- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2)>
#<alt (- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
#<alt (* -3/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* (pow x 2) (- (* 8043/32768 (pow x 2)) 275/1024)))) 3/8))>
#<alt (- (sqrt 1/8) 1)>
#<alt (- (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) 1)>
#<alt (- (+ (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))))) 1)>
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#<alt (- (sqrt 1/8) 1)>
#<alt (- (sqrt 1/8) (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))))>
#<alt (- (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) 1)>
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#<alt -3>
#<alt (- (* 3/8 (pow x 2)) 3)>
#<alt (- (* (pow x 2) (+ 3/8 (* -35/128 (pow x 2)))) 3)>
#<alt (- (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 229/1024 (pow x 2)) 35/128)))) 3)>
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#<alt (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x)) (+ 3/2 (sqrt 1/2)))>
#<alt (- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))))>
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#<alt (- (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))) (+ 3/2 (sqrt 1/2)))>
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#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
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#<alt (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (+ (* -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)))) (- (sqrt 1/8) 1)) (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))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 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)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- (sqrt 1/8) 1) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 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)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2))))) (pow x 2))))))>
#<alt (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2))))>
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#<alt (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (* -1 (/ (- (+ (* -1 (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* x (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (* (+ 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)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* x (+ 3/2 (sqrt 1/2)))))) x)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 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)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 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)))) (* x (* (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)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) (* x (* (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))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 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)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (* x (+ 3/2 (sqrt 1/2)))) (/ (* (- (sqrt 1/8) 1) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))) x))) x)) (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))))>
#<alt 1>
#<alt (+ 1 (* -3/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))>
#<alt (sqrt 1/8)>
#<alt (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))>
#<alt (+ (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)))))>
#<alt (+ (sqrt 1/8) (+ (* -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)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))>
#<alt (sqrt 1/8)>
#<alt (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))>
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))>
#<alt (+ (sqrt 1/8) (* -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)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt 2>
#<alt (+ 2 (* -5/8 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 63/128 (pow x 2)) 5/8)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 63/128 (* -435/1024 (pow x 2)))) 5/8)))>
#<alt (* 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (/ 1/8 (* x (sqrt 1/2)))))>
#<alt (- (+ (* 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (+ (/ 1/8 (* x (sqrt 1/2))) (* 1/8 (/ 1 (* (pow x 2) (sqrt 1/2))))))) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (- (+ (* -1/4 (/ (+ 1 (sqrt 1/2)) (pow x 3))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (+ (/ 1/8 (* x (sqrt 1/2))) (* 1/8 (/ 1 (* (pow x 2) (sqrt 1/2))))))))) (+ (/ 1/64 (* (pow x 3) (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))))>
#<alt (* 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (* 1/2 (+ 1 (sqrt 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) x)) (+ (* 1/8 (/ 1 (sqrt 1/2))) (* 1/2 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (+ 1 (sqrt 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/8 (/ 1 (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) x)) (+ (* 1/8 (/ 1 (sqrt 1/2))) (* 1/2 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (+ 1 (sqrt 1/2))))>
#<alt -1/4>
#<alt (- (* 3/16 (pow x 2)) 1/4)>
#<alt (- (* 3/16 (pow x 2)) 1/4)>
#<alt (- (* 3/16 (pow x 2)) 1/4)>
#<alt (* 3/16 (pow x 2))>
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 3/16 (pow x 2))>
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))))
4.0ms	x	@	0	(/ 1/2 (sqrt (+ (* x x) 1)))
2.0ms	x	@	-inf	(+ (* x (* x 3/16)) -1/4)
2.0ms	x	@	inf	(/ (+ -1 (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) (neg (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))) (+ 3/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))
2.0ms	x	@	inf	(+ -1 (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))

simplify372.0ms (3.2%)

Memory

-16.4MiB live, 625.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 244×	`lower-fma.f64`
8 244×	`lower-fma.f32`
6 030×	`lower-+.f64`
6 030×	`lower-+.f32`
4 908×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	917	7667
1	2927	6503
0	8669	6185

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

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 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))
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4
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2
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1
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1/2
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1
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1/2
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1/2
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1
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(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))))
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-2
(- (* 1/8 (pow x 2)) 2)
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(* -1/4 (pow x 2))
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-1/2
(- (* 1/2 (/ 1 x)) 1/2)
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3))))
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-1/2
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1/2
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(/ 1/2 x)
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(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
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(* -3/8 (pow x 2))
(* (pow x 2) (- (* 39/128 (pow x 2)) 3/8))
(* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8))
(* (pow x 2) (- (* (pow x 2) (+ 39/128 (* (pow x 2) (- (* 8043/32768 (pow x 2)) 275/1024)))) 3/8))
(- (sqrt 1/8) 1)
(- (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) 1)
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(- (sqrt 1/8) 1)
(- (sqrt 1/8) (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))))
(- (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) 1)
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-3
(- (* 3/8 (pow x 2)) 3)
(- (* (pow x 2) (+ 3/8 (* -35/128 (pow x 2)))) 3)
(- (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 229/1024 (pow x 2)) 35/128)))) 3)
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(- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x)) (+ 3/2 (sqrt 1/2)))
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(* 1/8 (pow x 2))
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(* (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 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2))))
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1
(+ 1 (* -3/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))
(sqrt 1/8)
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (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)))))
(+ (sqrt 1/8) (+ (* -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)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))
(sqrt 1/8)
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))
(+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))
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1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
2
(+ 2 (* -5/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 63/128 (pow x 2)) 5/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 63/128 (* -435/1024 (pow x 2)))) 5/8)))
(* 1/2 (+ 1 (sqrt 1/2)))
(+ (* 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (/ 1/8 (* x (sqrt 1/2)))))
(- (+ (* 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (+ (/ 1/8 (* x (sqrt 1/2))) (* 1/8 (/ 1 (* (pow x 2) (sqrt 1/2))))))) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(- (+ (* -1/4 (/ (+ 1 (sqrt 1/2)) (pow x 3))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (+ (/ 1/8 (* x (sqrt 1/2))) (* 1/8 (/ 1 (* (pow x 2) (sqrt 1/2))))))))) (+ (/ 1/64 (* (pow x 3) (pow (sqrt 1/2) 3))) (* 1/64 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))))
(* 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (* 1/2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) x)) (+ (* 1/8 (/ 1 (sqrt 1/2))) (* 1/2 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/8 (/ 1 (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) x)) (+ (* 1/8 (/ 1 (sqrt 1/2))) (* 1/2 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (+ 1 (sqrt 1/2))))
-1/4
(- (* 3/16 (pow x 2)) 1/4)
(- (* 3/16 (pow x 2)) 1/4)
(- (* 3/16 (pow x 2)) 1/4)
(* 3/16 (pow x 2))
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* 3/16 (pow x 2))
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))

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

rewrite428.0ms (3.7%)

Memory

17.9MiB live, 564.6MiB allocated

Rules

4 326×	`lower-/.f32`
4 318×	`lower-/.f64`
3 366×	`lower-fma.f32`
3 360×	`lower-fma.f64`
2 724×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	458
0	75	416
1	359	386
2	3109	385
0	8398	385

Stop Event

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

Counts

22 → 886

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(-.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
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(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
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(fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 3 binary64)))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64)) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64)) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64)))))
(fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x #s(literal 3/16 binary64)) x #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -3/64 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -3/64 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -3/64 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64)) (.f64 (*.f64 x x) #s(literal -3/64 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64)) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -3/64 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 #s(literal 1/16 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64)) (.f64 (*.f64 x x) #s(literal -3/64 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64))) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -3/64 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64)))) (neg.f64 (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (.f64 x x) #s(literal -3/64 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 27/4096 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal 1/16 binary64)) (.f64 (*.f64 x x) #s(literal -3/64 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 9/256 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal 1/4 binary64))))

eval400.0ms (3.5%)

Memory: 33.4MiB live, 679.5MiB allocated
Compiler: Compiled 129 346 to 6 722 computations (94.8% saved)

prune339.0ms (2.9%)

Memory

40.3MiB live, 702.8MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	2 166	11	2 177
Fresh	12	5	17
Picked	4	1	5
Done	0	0	0
Total	2 182	17	2 199

Accuracy

100.0%

Counts

2 199 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
	79.0%	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
▶	80.3%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	78.9%	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)))))))
	39.2%	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(approx (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) #s(literal -2 binary64)))
▶	80.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	47.6%	(/.f64 #s(approx (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1335/4096 binary64) #s(literal 183/512 binary64))) #s(literal -13/32 binary64)) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
▶	79.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	53.1%	(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	47.6%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
	49.0%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
	47.4%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
▶	48.9%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	53.2%	#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
▶	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))

Compiler

Compiled 634 to 341 computations (46.2% saved)

simplify678.0ms (5.9%)

Memory

-162.9MiB live, 749.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 x x))
cost-diff	0	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))

Rules

15 488×	`lower-fma.f32`
15 484×	`lower-fma.f64`
3 318×	`lower--.f32`
3 312×	`lower--.f64`
3 246×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	377
0	76	378
1	143	374
2	292	337
3	925	335
4	3597	335
0	8319	335

Stop Event

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

Calls

Call 1

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

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

localize266.0ms (2.3%)

Memory

-18.6MiB live, 415.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	0.3511381992234293	(/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy	12.589754380235929	(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64))
accuracy	13.942836345968695	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
accuracy	0.00390625	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
accuracy	13.133831393783888	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
accuracy	13.942836345968695	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.00390625	(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
accuracy	0.7357025390737681	(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
accuracy	30.176255687805714	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(.f64 #s(literal 1/8 binary64) (.f64 x x))
accuracy	32.72988097649197	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
accuracy	0.01171875	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	0.015625	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
accuracy	12.619905670588844	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	13.942836345968695	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

Samples

86.0ms	80×	2	valid
39.0ms	138×	0	valid
23.0ms	38×	1	valid

Compiler

Compiled 399 to 43 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

adjust: 21.0ms (18% of total)

ival-div: 20.0ms (17.2% of total)

ival-hypot: 20.0ms (17.2% of total)

ival-mult: 15.0ms (12.9% of total)

ival-add: 15.0ms (12.9% of total)

ival-sqrt: 14.0ms (12% of total)

ival-sub: 10.0ms (8.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series23.0ms (0.2%)

Memory

7.4MiB live, 46.5MiB allocated

Counts

20 → 228

Calls

Call 1

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

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))>
#<alt (- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 4)))))))))))>
#<alt (- (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3)))))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 4))) (/ (* (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (- (/ (* (+ 1 (sqrt 1/2)) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4)) (sqrt 1/2)) (* 1/64 (/ 1 (pow (sqrt 1/2) 4))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 4)))))))))))))))>
#<alt (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))>
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#<alt (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (/ 1/8 (* x (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (/ 1/8 (* x (sqrt 1/2)))) (/ 1/64 (* x (pow (sqrt 1/2) 3)))) x)) (* -1/2 (+ 1 (sqrt 1/2))))>
#<alt (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -1/4 (/ (+ 1 (sqrt 1/2)) x)) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))))) (/ 1/64 (* x (pow (sqrt 1/2) 3)))) x))) x)) (* -1/2 (+ 1 (sqrt 1/2))))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (- -1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))
2.0ms	x	@	inf	(/ (+ (/ 1/4 (+ (* x x) 1)) -1/4) (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (- -1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))))
1.0ms	x	@	inf	(/ (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))
1.0ms	x	@	-inf	(/ (+ (/ 1/4 (+ (* x x) 1)) -1/4) (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (- -1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))))
1.0ms	x	@	0	(+ (* (sqrt 1/2) (+ -1 (/ -1/2 x))) 1)

simplify399.0ms (3.5%)

Memory

-0.8MiB live, 605.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 440×	`lower-fma.f64`
7 440×	`lower-fma.f32`
4 392×	`lower-+.f64`
4 392×	`lower-+.f32`
4 228×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	673	5593
1	2174	4812
2	7560	4800
0	8380	4573

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 227

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))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 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 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))
(- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (/ 1/2 (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 4)))))))))))
(- (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (/ 1/2 (+ 1 (sqrt 1/2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3)))))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 4))) (/ (* (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (- (/ (* (+ 1 (sqrt 1/2)) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4)) (sqrt 1/2)) (* 1/64 (/ 1 (pow (sqrt 1/2) 4))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 4)))))))))))))))
(/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))
(- (+ (* -1 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) x)) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (+ 1 (sqrt 1/2))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) x)) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (+ 1 (sqrt 1/2))))
(- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3)))))))) (pow (+ 1 (sqrt 1/2)) 2)) (/ (* (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (- (/ (* (+ 1 (sqrt 1/2)) (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4)) (sqrt 1/2)) (* 1/64 (/ 1 (pow (sqrt 1/2) 4))))) (pow (+ 1 (sqrt 1/2)) 4)))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ (- (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (/ (* (+ (* -1/16 (/ (+ 1 (sqrt 1/2)) (pow (sqrt 1/2) 3))) (* 1/16 (/ 1 (pow (sqrt 1/2) 2)))) (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 4)))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/2 (/ (- (+ 1 (sqrt 1/2)) (* 1/2 (+ 1 (sqrt 1/2)))) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 3))))))) x)) (+ (/ 1 (pow (+ 1 (sqrt 1/2)) 2)) (/ (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (+ 1 (sqrt 1/2))))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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 (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)))))
(- 1 (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))
(* -1/2 (/ (sqrt 1/2) x))
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x)
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x)
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x)
(+ 1 (* -1 (sqrt 1/2)))
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (* -1 (sqrt 1/2)))
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))
(/ -1/2 x)
(/ (- (* -1 x) 1/2) x)
(/ (- (* -1 x) 1/2) x)
(/ (- (* -1 x) 1/2) x)
-1
(* -1 (+ 1 (* 1/2 (/ 1 x))))
(* -1 (+ 1 (* 1/2 (/ 1 x))))
(* -1 (+ 1 (* 1/2 (/ 1 x))))
-1
(* -1 (+ 1 (* 1/2 (/ 1 x))))
(* -1 (+ 1 (* 1/2 (/ 1 x))))
(* -1 (+ 1 (* 1/2 (/ 1 x))))
(* 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 (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)))))
(- 1 (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 (* -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)))
(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)))))
(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
(+ 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
(+ 1/2 (* 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
(- 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)))
(* 1/8 (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))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))) (* 2 (/ (pow (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))) (* 2 (/ (pow (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))) (* 2 (/ (pow (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) 2) (pow (+ 1 (sqrt 1/2)) 3)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (* 2 (/ (pow (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) 2) (* x (pow (+ 1 (sqrt 1/2)) 3)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))) (* 2 (/ (pow (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) 2) (pow (+ 1 (sqrt 1/2)) 3)))))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (pow (+ 1 (sqrt 1/2)) 3))) (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))) (* 2 (/ (pow (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) 2) (pow (+ 1 (sqrt 1/2)) 3)))))) (+ 1 (sqrt 1/2)))))) x))) x)) (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/4 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) 1/4))
-1/4
(- (* 1/4 (/ 1 (pow x 2))) 1/4)
(- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4))))
-1/4
(- (* 1/4 (/ 1 (pow x 2))) 1/4)
(- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4))))
1/4
(+ 1/4 (* -1/4 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)))
(/ 1/4 (pow x 2))
(/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2))
(/ 1/4 (pow x 2))
(/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 1 (+ (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 (sqrt 1/2))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(+ 1 (+ (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))))
-2
(- (* 5/8 (pow x 2)) 2)
(- (* (pow x 2) (+ 5/8 (* -63/128 (pow x 2)))) 2)
(- (* (pow x 2) (+ 5/8 (* (pow x 2) (- (* 435/1024 (pow x 2)) 63/128)))) 2)
(* -1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (* -1/2 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 3))) (* -1/2 (+ 1 (sqrt 1/2))))))
(* -1/2 (+ 1 (sqrt 1/2)))
(+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (/ 1/8 (* x (sqrt 1/2)))))
(+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (/ 1/8 (* x (sqrt 1/2)))) (/ 1/64 (* x (pow (sqrt 1/2) 3)))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (+ (* -1 (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -1/4 (/ (+ 1 (sqrt 1/2)) x)) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))))) (/ 1/64 (* x (pow (sqrt 1/2) 3)))) x))) x)) (* -1/2 (+ 1 (sqrt 1/2))))

Outputs
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1843/32768 binary64)) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (.f64 x x)))) (+.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -3/64 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x)))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
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(+ 2 (* -1/8 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -69/1024 binary64) #s(literal 11/128 binary64)) #s(literal -1/8 binary64)) #s(literal 2 binary64))
(+ 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) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))
(- (+ 1 (+ (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 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(+ 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 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x))
(+ 1 (+ (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 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) x))
-2
#s(literal -2 binary64)
(- (* 5/8 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal 5/8 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (+ 5/8 (* -63/128 (pow x 2)))) 2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -63/128 binary64) #s(literal 5/8 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (+ 5/8 (* (pow x 2) (- (* 435/1024 (pow x 2)) 63/128)))) 2)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 435/1024 binary64)) #s(literal -63/128 binary64))) #s(literal 5/8 binary64))) #s(literal -2 binary64))
(* -1/2 (+ 1 (sqrt 1/2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (* -1/2 (+ 1 (sqrt 1/2)))))
(+.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))))
(+ (* -1 (/ (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) x)) (+ (* -1 (/ (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 3))) (* -1/2 (+ 1 (sqrt 1/2))))))
(+.f64 (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (+.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal -3/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (.f64 x x)))) (-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))))
(* -1/2 (+ 1 (sqrt 1/2)))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))
(+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/2 (/ (+ 1 (sqrt 1/2)) x)) (/ 1/8 (* x (sqrt 1/2)))))
(+.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ (* -1 (/ (- (+ (* -1 (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (/ 1/8 (* x (sqrt 1/2)))) (/ 1/64 (* x (pow (sqrt 1/2) 3)))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) x))
(+ (* -1 (/ (+ (* -1 (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -1/4 (/ (+ 1 (sqrt 1/2)) x)) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))))) (/ 1/64 (* x (pow (sqrt 1/2) 3)))) x))) x)) (* -1/2 (+ 1 (sqrt 1/2))))
(-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal -1/4 binary64)) x) (/.f64 #s(literal -3/64 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/64 binary64) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) x))

rewrite371.0ms (3.2%)

Memory

-36.9MiB live, 556.8MiB allocated

Rules

4 670×	`lower-/.f32`
4 660×	`lower-/.f64`
2 726×	`lower-fma.f32`
2 722×	`lower-fma.f64`
2 566×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	273
0	76	250
1	350	250
2	2898	249
0	8285	249

Stop Event

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

Counts

20 → 796

Calls

Call 1

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

Outputs
(+.f64 (/.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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) (/.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) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (.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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64))

eval315.0ms (2.7%)

Memory: 23.7MiB live, 529.7MiB allocated
Compiler: Compiled 58 095 to 4 618 computations (92.1% saved)

prune292.0ms (2.5%)

Memory

9.0MiB live, 456.9MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 626	12	1 638
Fresh	6	5	11
Picked	0	5	5
Done	0	1	1
Total	1 632	23	1 655

Accuracy

100.0%

Counts

1 655 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
▶	79.0%	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
✓	80.3%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
▶	78.9%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
	78.7%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(approx (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))))
	39.2%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(approx (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) #s(literal 2 binary64)))
	56.8%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
✓	80.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	36.9%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(approx (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (- -1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) #s(literal -2 binary64)))
	47.6%	(/.f64 #s(approx (+ (/ 1/4 (+ (* x x) 1)) -1/4) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
✓	79.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
▶	77.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
✓	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
▶	27.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
	29.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64))))
▶	28.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))
	47.6%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
	49.0%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
	47.4%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
✓	48.9%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	53.2%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))

Compiler

Compiled 738 to 414 computations (43.9% saved)

simplify572.0ms (5%)

Memory

20.6MiB live, 715.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64)))
cost-diff	0	(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
cost-diff	0	#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff	0	(sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
cost-diff	4160	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))

Rules

21 540×	`lower-fma.f32`
21 530×	`lower-fma.f64`
3 358×	`lower-*.f32`
3 352×	`lower-*.f64`
2 566×	`lower-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	392
0	73	392
1	117	379
2	179	379
3	264	379
4	338	379
5	485	379
6	689	379
7	1021	379
8	1545	379
9	2928	379
10	3995	379
11	4843	379
12	5476	379
13	5770	379
14	6072	379
15	6228	379
16	6305	379
17	6514	379
18	7251	379
19	7454	379
0	8126	379

Stop Event

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

Calls

Call 1

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

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

localize181.0ms (1.6%)

Memory

14.7MiB live, 365.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
accuracy	12.619905670588844	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy	13.942836345968692	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy	29.032122891718956	#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
accuracy	0.00390625	(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
accuracy	13.133831393783888	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
accuracy	31.562037508259312	#s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
accuracy	0.046875	(.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64)))
accuracy	0.0703125	(fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))
accuracy	13.133831393783888	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
accuracy	32.552539625325224	#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
accuracy	13.133831393783888	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))
accuracy	27.449684564772355	#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64))
accuracy	0.00390625	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy	0.4921875	(sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
accuracy	13.198705690092112	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
accuracy	13.942836345968692	(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))

Samples

56.0ms	80×	2	valid
30.0ms	138×	0	valid
16.0ms	38×	1	valid

Compiler

Compiled 345 to 33 computations (90.4% saved)

Precisions

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

ival-mult: 13.0ms (17.5% of total)

ival-add: 12.0ms (16.2% of total)

adjust: 11.0ms (14.8% of total)

ival-hypot: 11.0ms (14.8% of total)

ival-sqrt: 10.0ms (13.5% of total)

ival-div: 8.0ms (10.8% of total)

ival-sub: 7.0ms (9.4% of total)

ival-neg: 2.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

2.4MiB live, 38.1MiB allocated

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (+ 1 (* -1 (sqrt 1/2)))>
#<alt (- (+ 1 (* -1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ 1 (+ (* -1 (sqrt 1/2)) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))) (/ 1/4 (* x (sqrt 1/2))))>
#<alt (- (+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -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))))))) (/ 1/4 (* x (sqrt 1/2))))>
#<alt (+ 1 (* -1 (sqrt 1/2)))>
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))))>
#<alt (+ 1 (+ (* -1 (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))))>
#<alt 1>
#<alt (+ 1 (* -1/16 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 21/512 (pow x 2)) 1/16)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 21/512 (* -255/8192 (pow x 2)))) 1/16)))>
#<alt (pow 1/2 1/4)>
#<alt (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))>
#<alt (+ (* -3/32 (* (pow 1/2 1/4) (/ 1 (pow x 2)))) (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4)))>
#<alt (+ (* -3/32 (* (pow 1/2 1/4) (/ 1 (pow x 2)))) (+ (* -9/128 (* (pow 1/2 1/4) (/ 1 (pow x 3)))) (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))))>
#<alt (pow 1/2 1/4)>
#<alt (+ (* -1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))>
#<alt (+ (* -1 (/ (+ (* 3/32 (* (pow 1/2 1/4) (/ 1 x))) (* 1/4 (pow 1/2 1/4))) x)) (pow 1/2 1/4))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (pow 1/2 1/4)) (* 9/128 (* (pow 1/2 1/4) (/ 1 x)))) x)) (* 1/4 (pow 1/2 1/4))) x)) (pow 1/2 1/4))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (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)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (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)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 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)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 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))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (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)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (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)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 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)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 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))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (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)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (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)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* 11/128 (pow x 3))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 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)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 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))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (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)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (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)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt -1/8>
#<alt (- (* 11/128 (pow x 2)) 1/8)>
#<alt (- (* 11/128 (pow x 2)) 1/8)>
#<alt (- (* 11/128 (pow x 2)) 1/8)>
#<alt (* 11/128 (pow x 2))>
#<alt (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 2))>
#<alt (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(sqrt (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))
1.0ms	x	@	inf	(sqrt (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))
1.0ms	x	@	-inf	(* x (+ (* x (* x 11/128)) -1/8))
0.0ms	x	@	inf	(* x (+ (* x (* x 11/128)) -1/8))
0.0ms	x	@	inf	(+ (* x (* x (+ (* x (* x 11/128)) -1/8))) 1)

simplify527.0ms (4.6%)

Memory

-28.2MiB live, 940.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 026×	`lower-fma.f64`
17 026×	`lower-fma.f32`
5 070×	`lower-*.f64`
5 070×	`lower-*.f32`
4 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	3766
1	1144	3465
2	3542	3418
0	8205	3260

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 250

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 (sqrt 1/2)))
(- (+ 1 (* -1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1 (sqrt 1/2)) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))) (/ 1/4 (* x (sqrt 1/2))))
(- (+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -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))))))) (/ 1/4 (* x (sqrt 1/2))))
(+ 1 (* -1 (sqrt 1/2)))
(+ 1 (+ (* -1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+ 1 (+ (* -1 (sqrt 1/2)) (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))))
(+ 1 (+ (* -1 (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 (* -1/16 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 21/512 (pow x 2)) 1/16)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 21/512 (* -255/8192 (pow x 2)))) 1/16)))
(pow 1/2 1/4)
(+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))
(+ (* -3/32 (* (pow 1/2 1/4) (/ 1 (pow x 2)))) (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4)))
(+ (* -3/32 (* (pow 1/2 1/4) (/ 1 (pow x 2)))) (+ (* -9/128 (* (pow 1/2 1/4) (/ 1 (pow x 3)))) (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))))
(pow 1/2 1/4)
(+ (* -1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))
(+ (* -1 (/ (+ (* 3/32 (* (pow 1/2 1/4) (/ 1 x))) (* 1/4 (pow 1/2 1/4))) x)) (pow 1/2 1/4))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (pow 1/2 1/4)) (* 9/128 (* (pow 1/2 1/4) (/ 1 x)))) x)) (* 1/4 (pow 1/2 1/4))) x)) (pow 1/2 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)))
(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)))))
(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
(+ 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
(+ 1/2 (* 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
(- 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)))
(* 1/8 (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 (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)))))
(- 1 (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 (* -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)))
(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)))))
(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)))
(* 1/8 (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 (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)))))
(- 1 (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 (* -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)))
(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)))))
(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
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 x)
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* 11/128 (pow x 2)) 1/8))
(* 11/128 (pow x 3))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* 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 (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)))))
(- 1 (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 (* -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)))
(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)))))
(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
(+ 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
(+ 1/2 (* 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
(- 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)))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(* 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))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
-1/8
(- (* 11/128 (pow x 2)) 1/8)
(- (* 11/128 (pow x 2)) 1/8)
(- (* 11/128 (pow x 2)) 1/8)
(* 11/128 (pow x 2))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 2))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))

Outputs
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64))) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64))) #s(literal 1/8 binary64)))
(+ 1 (* -1 (sqrt 1/2)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (+ (* -1 (sqrt 1/2)) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))) (/ 1/4 (* x (sqrt 1/2))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(- (+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -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))))))) (/ 1/4 (* x (sqrt 1/2))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(+ 1 (* -1 (sqrt 1/2)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ 1 (+ (* -1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ 1 (+ (* -1 (sqrt 1/2)) (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(+ 1 (+ (* -1 (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 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/16 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 21/512 (pow x 2)) 1/16)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 21/512 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 21/512 (* -255/8192 (pow x 2)))) 1/16)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -255/8192 binary64) #s(literal 21/512 binary64))) #s(literal -1/16 binary64)) #s(literal 1 binary64))
(pow 1/2 1/4)
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+ (* -3/32 (* (pow 1/2 1/4) (/ 1 (pow x 2)))) (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) x) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64))))
(+ (* -3/32 (* (pow 1/2 1/4) (/ 1 (pow x 2)))) (+ (* -9/128 (* (pow 1/2 1/4) (/ 1 (pow x 3)))) (+ (* 1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal -3/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal -9/128 binary64)))))
(pow 1/2 1/4)
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
(+ (* -1/4 (* (pow 1/2 1/4) (/ 1 x))) (pow 1/2 1/4))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(+ (* -1 (/ (+ (* 3/32 (* (pow 1/2 1/4) (/ 1 x))) (* 1/4 (pow 1/2 1/4))) x)) (pow 1/2 1/4))
(-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/32 binary64) #s(literal 1/4 binary64))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (pow 1/2 1/4)) (* 9/128 (* (pow 1/2 1/4) (/ 1 x)))) x)) (* 1/4 (pow 1/2 1/4))) x)) (pow 1/2 1/4))
(-.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9/128 binary64) #s(literal -3/32 binary64))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -69/1024 binary64) #s(literal 11/128 binary64))) #s(literal -1/8 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 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ (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 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(- (+ (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 #s(literal 1/32 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (*.f64 x (sqrt.f64 #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) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (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 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 x (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 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/32 binary64)) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(+.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 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (+.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
#s(literal 1/2 binary64)
(- 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64))) #s(literal 1/8 binary64)))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64))) #s(literal 1/8 binary64)))
(- 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 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (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 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/4 binary64) (.f64 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 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 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))
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(+.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 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/32 binary64)) #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))) x))
-1/8
#s(literal -1/8 binary64)
(- (* 11/128 (pow x 2)) 1/8)
(fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))
(- (* 11/128 (pow x 2)) 1/8)
(fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))
(- (* 11/128 (pow x 2)) 1/8)
(fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 2) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x)))) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (.f64 x x))))) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -5/32 binary64)) #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 x))

rewrite300.0ms (2.6%)

Memory

23.9MiB live, 505.9MiB allocated

Rules

4 336×	`lower-/.f32`
4 328×	`lower-/.f64`
3 996×	`lower-*.f32`
3 990×	`lower-*.f64`
2 642×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	288
0	73	288
1	295	275
2	2184	275
0	8127	275

Stop Event

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

Counts

21 → 589

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64))
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(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
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(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 x x))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (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 -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 11/128 binary64))) #s(literal -1/8 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64)) (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64)) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64))))))
(fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))
(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))
(fma.f64 (*.f64 x #s(literal 11/128 binary64)) x #s(literal -1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -11/1024 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -11/1024 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64)) (.f64 (*.f64 x x) #s(literal -11/1024 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -11/1024 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64)) (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -11/1024 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64)) (.f64 (*.f64 x x) #s(literal -11/1024 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64))) (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64)) (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -11/1024 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64)))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal -11/1024 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1331/2097152 binary64) #s(literal -1/512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (*.f64 x x) #s(literal -11/1024 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 121/16384 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal 1/8 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))

eval180.0ms (1.6%)

Memory: -5.3MiB live, 303.3MiB allocated
Compiler: Compiled 38 027 to 3 294 computations (91.3% saved)

prune155.0ms (1.3%)

Memory

-29.2MiB live, 344.4MiB allocated

Pruning

23 alts after pruning (13 fresh and 10 done)

	Pruned	Kept	Total
New	1 130	3	1 133
Fresh	2	10	12
Picked	1	4	5
Done	0	6	6
Total	1 133	23	1 156

Accuracy

100.0%

Counts

1 156 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.2%	(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓	79.0%	(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64))
✓	80.3%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
	39.2%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(approx (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) #s(literal 2 binary64)))
	53.1%	(/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
	56.8%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
✓	80.3%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
	36.9%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(approx (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (- -1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) #s(literal -2 binary64)))
	47.6%	(/.f64 #s(approx (+ (/ 1/4 (+ (* x x) 1)) -1/4) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
✓	79.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
✓	77.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
✓	52.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
✓	27.8%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
	29.5%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 11/128)) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
✓	28.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))
	78.2%	(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
	47.6%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
	49.0%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
	47.4%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
✓	48.9%	#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	53.2%	#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	52.1%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))

Compiler

Compiled 1 895 to 451 computations (76.2% saved)

regimes93.0ms (0.8%)

Memory

34.2MiB live, 111.5MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))
#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x #s(approx (+ ( x (* x 11/128)) -1/8) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.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 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(approx (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (- -1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) #s(literal -2 binary64)))
#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(approx (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(approx (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) #s(literal 2 binary64)))
#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 1 1) (* x x))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 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 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(approx (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))))))
(/.f64 #s(approx (+ (/ 1/4 (+ (* x x) 1)) -1/4) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1335/4096 binary64) #s(literal 183/512 binary64))) #s(literal -13/32 binary64)) #s(literal 1/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -1 binary64))))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x 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) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 9/2 binary64))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))))

Outputs

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

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

Calls

7 calls:

22.0ms	(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)))))
13.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
13.0ms	x
11.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
99.9%	2	`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	`(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 1/2 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) (/.f64 #s(literal 1 binary64) (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	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes92.0ms (0.8%)

Memory

-16.9MiB live, 101.0MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

30.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)
12.0ms	x
10.0ms	(/.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))))))

Results

Accuracy	Segments	Branch
99.9%	2	`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	`(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 1/2 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) (/.f64 #s(literal 1 binary64) (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	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes92.0ms (0.8%)

Memory

12.9MiB live, 89.5MiB allocated

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

27.0ms	(-.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))))))
27.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
8.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

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

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes63.0ms (0.5%)

Memory

-6.5MiB live, 75.4MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

19.0ms	(-.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))))))
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes50.0ms (0.4%)

Memory

6.7MiB live, 84.7MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

10.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
9.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	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
99.2%	2	`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	`(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 1/2 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) (/.f64 #s(literal 1 binary64) (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	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes93.0ms (0.8%)

Memory

-44.9MiB live, 61.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

39.0ms	x
26.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
5.0ms	(*.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
98.5%	2	`x`
98.5%	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))))))`
98.5%	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)))))`
98.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes54.0ms (0.5%)

Memory

22.6MiB live, 59.8MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

21.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
98.5%	2	`x`
98.5%	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))))))`
98.5%	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)))))`
98.5%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.5%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.5%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes70.0ms (0.6%)

Memory

-17.8MiB live, 64.0MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

25.0ms	(-.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))))))
23.0ms	(/.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) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

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

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes25.0ms (0.2%)

Memory

12.0MiB live, 51.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

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

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes19.0ms (0.2%)

Memory

-0.5MiB live, 38.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
97.3%	2	`x`
97.3%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
97.3%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
97.3%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.3%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.3%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.3%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes45.0ms (0.4%)

Memory

-11.7MiB live, 27.5MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

31.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
3.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	x
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
96.9%	2	`x`
96.9%	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))))))`
96.9%	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)))))`
96.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
96.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
96.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
96.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

7 calls:

2.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(-.f64 #s(literal 1 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
48.9%	1	`x`
48.9%	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))))))`
48.9%	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)))))`
48.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
48.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
48.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
48.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
28.1%	1	`x`
28.1%	1	`(hypot.f64 #s(literal 1 binary64) x)`
28.1%	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)))))`
28.1%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
28.1%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
28.1%	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))))))`
28.1%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 54 to 37 computations (31.5% saved)

bsearch20.0ms (0.2%)

Memory

-42.5MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000152482786913	1.0029133359008546

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000152482786913	1.0029133359008546

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0029133359008546	1.3444076975193318

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000152482786913	1.0029133359008546

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3444076975193318	11.82599504379344

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify16.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
30×	`sub-neg_binary64`
28×	`*-commutative_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	1270
1	139	1270
2	162	1270
3	178	1270
4	188	1270
5	190	1270

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) (/.f64 #s(approx (+ (/ 1/4 (+ (* x x) 1)) -1/4) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1/2 binary64) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) #s(approx (/ (+ (/ 1/2 (sqrt (+ ( x x) 1))) -1/2) (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #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)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) (/.f64 #s(approx (+ (/ 1/4 (+ (* x x) 1)) -1/4) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 5404319552844595/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1/2 binary64) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ ( x x) 1))) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) #s(approx (/ (+ (/ 1/2 (sqrt (+ ( x x) 1))) -1/2) (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #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)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.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 (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
#s(approx (/ (- (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (* (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) (.f64 (.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1 binary64)))

soundness1.3s (11.2%)

Memory

18.5MiB live, 1 014.5MiB allocated

Rules

17 026×	`lower-fma.f64`
17 026×	`lower-fma.f32`
12 216×	`lower-fma.f64`
12 216×	`lower-fma.f32`
8 244×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	232	991
1	674	917
2	1886	877
3	5889	834
0	8210	781
0	383	3766
1	1144	3465
2	3542	3418
0	8205	3260
0	673	5593
1	2174	4812
2	7560	4800
0	8380	4573
0	917	7667
1	2927	6503
0	8669	6185
0	45	458
0	75	416
1	359	386
2	3109	385
0	8398	385
0	9	46
0	18	46
1	78	40
2	562	40
3	5208	40
0	8823	40

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×	node limit

Compiler

Compiled 918 to 352 computations (61.7% saved)

preprocess99.0ms (0.9%)

Memory: -10.8MiB live, 107.7MiB allocated
Remove: (abs x)
Compiler: Compiled 1 150 to 258 computations (77.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	120	26
4	172	26
5	204	26
6	216	26
0	9	12
0	18	12
1	31	10
2	38	10
3	43	10
4	49	10
5	57	10
6	67	10
7	78	10
8	81	10
0	81	10

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	120	26
4	172	26
5	204	26
6	216	26
0	9	12
0	18	12
1	31	10
2	38	10
3	43	10
4	49	10
5	57	10
6	67	10
7	78	10
8	81	10
0	81	10

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (14.2%)

explain162.0ms (1.4%)

preprocess21.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize82.0ms (0.7%)

series7.0ms (0.1%)

simplify363.0ms (3.2%)

rewrite378.0ms (3.3%)

eval81.0ms (0.7%)

prune101.0ms (0.9%)

simplify468.0ms (4.1%)

localize222.0ms (1.9%)

series41.0ms (0.4%)

simplify372.0ms (3.2%)

rewrite428.0ms (3.7%)

eval400.0ms (3.5%)

prune339.0ms (2.9%)

simplify678.0ms (5.9%)

localize266.0ms (2.3%)

series23.0ms (0.2%)

simplify399.0ms (3.5%)

rewrite371.0ms (3.2%)

eval315.0ms (2.7%)

prune292.0ms (2.5%)

simplify572.0ms (5%)

localize181.0ms (1.6%)

series18.0ms (0.2%)

simplify527.0ms (4.6%)

rewrite300.0ms (2.6%)

eval180.0ms (1.6%)

prune155.0ms (1.3%)

regimes93.0ms (0.8%)

regimes92.0ms (0.8%)

regimes92.0ms (0.8%)

regimes63.0ms (0.5%)

regimes50.0ms (0.4%)

regimes93.0ms (0.8%)

regimes54.0ms (0.5%)

regimes70.0ms (0.6%)

regimes25.0ms (0.2%)

regimes19.0ms (0.2%)

regimes45.0ms (0.4%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.3s (11.2%)

preprocess99.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	120	26
4	172	26
5	204	26
6	216	26
0	9	12
0	18	12
1	31	10
2	38	10
3	43	10
4	49	10
5	57	10
6	67	10
7	78	10
8	81	10
0	81	10