Metrics for Given's Rotation SVD example, simplified

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample2.0s (20.4%)

Memory

14.1MiB live, 2 626.9MiB allocated

Samples

946.0ms	2 838×	2	valid
417.0ms	4 215×	0	valid
238.0ms	1 203×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-hypot: 494.0ms (38.4% of total)

ival-sqrt: 207.0ms (16.1% of total)

ival-mult: 135.0ms (10.5% of total)

adjust: 127.0ms (9.9% of total)

ival-div: 122.0ms (9.5% of total)

ival-sub: 111.0ms (8.6% of total)

ival-add: 74.0ms (5.7% of total)

exact: 8.0ms (0.6% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain171.0ms (1.8%)

Memory

-1.0MiB live, 289.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
47	-	1	(0.334452984345287)	`(-.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	46	1

Confusion

	Predicted +	Predicted -
+	46	1
-	0	209

Precision

1.0

Recall

0.9787234042553191

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	46	1	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	210
1	46

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

59.0ms	188×	2	valid
24.0ms	274×	0	valid
9.0ms	50×	1	valid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-hypot: 29.0ms (42.9% of total)

adjust: 7.0ms (10.3% of total)

ival-div: 7.0ms (10.3% of total)

ival-sqrt: 7.0ms (10.3% of total)

ival-mult: 6.0ms (8.9% of total)

ival-sub: 5.0ms (7.4% of total)

ival-add: 5.0ms (7.4% of total)

exact: 1.0ms (1.5% of total)

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

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

preprocess16.0ms (0.2%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	118	26
4	171	26
5	204	26
6	218	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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))

Symmetry

(abs x)

Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify25.0ms (0.3%)

Memory

-34.3MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	49
0	18	49
1	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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x

localize56.0ms (0.6%)

Memory

13.2MiB live, 54.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	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))))
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
accuracy	11.145211063242854	(-.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

26.0ms	94×	2	valid
17.0ms	137×	0	valid
4.0ms	25×	1	valid

Compiler

Compiled 81 to 11 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-hypot: 11.0ms (30% of total)

ival-div: 10.0ms (27.2% of total)

ival-sqrt: 4.0ms (10.9% of total)

adjust: 3.0ms (8.2% of total)

ival-add: 3.0ms (8.2% of total)

ival-mult: 3.0ms (8.2% of total)

ival-sub: 2.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

5 → 54

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify177.0ms (1.8%)

Memory

1.7MiB live, 191.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	845
1	592	771
2	1668	732
3	4539	691
0	8216	652

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

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

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

rewrite173.0ms (1.8%)

Memory

20.0MiB live, 172.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	43
0	18	43
1	78	37
2	562	37
3	5214	37
0	8825	37

Stop Event

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

Counts

5 → 417

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (.f64 (log1p.f64 (.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x))))

eval124.0ms (1.3%)

Memory: -45.4MiB live, 147.5MiB allocated
Compiler: Compiled 11 575 to 1 901 computations (83.6% saved)

prune31.0ms (0.3%)

Memory

-3.0MiB live, 35.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	458	13	471
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	459	13	472

Accuracy

83.6%

Counts

472 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.6%	(fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
▶	83.4%	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
▶	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
	30.3%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
	30.7%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
	30.2%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
▶	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
	31.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))))
▶	53.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	82.6%	(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) #s(literal -1 binary64)))
▶	52.7%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))

Compiler

Compiled 586 to 406 computations (30.7% saved)

simplify209.0ms (2.2%)

Memory

20.2MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
cost-diff	1	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
cost-diff	1	(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	6	(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
cost-diff	1	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
cost-diff	0	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
cost-diff	0	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	0	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
cost-diff	1	(-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
cost-diff	2	(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	331
0	74	315
1	135	301
2	264	290
3	535	284
4	1160	284
5	2617	284
6	5549	284
7	6808	284
8	7268	284
9	7507	284
10	7595	284
11	7600	284
0	8273	282

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (2.3%)

Memory

11.8MiB live, 356.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	0.51171875	(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
accuracy	10.616733131884196	(-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
accuracy	11.145211063242854	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
accuracy	0.08660126953688403	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	0.49609375	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	1.0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	29.76551116871306	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
accuracy	0.00390625	(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))
accuracy	11.145211063242854	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
accuracy	28.99575427731354	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
accuracy	0.0078125	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
accuracy	11.145211063242854	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
accuracy	25.115149647533205	#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
accuracy	0.0078125	(-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
accuracy	10.62809838648326	(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))

Samples

106.0ms	94×	2	valid
41.0ms	25×	1	valid
36.0ms	137×	0	valid

Compiler

Compiled 418 to 38 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 23.0ms (16.2% of total)

ival-pow: 23.0ms (16.2% of total)

ival-sqrt: 23.0ms (16.2% of total)

adjust: 19.0ms (13.4% of total)

ival-sub: 16.0ms (11.3% of total)

ival-hypot: 14.0ms (9.9% of total)

ival-add: 10.0ms (7.1% of total)

ival-mult: 10.0ms (7.1% of total)

ival-neg: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series20.0ms (0.2%)

Memory

2.2MiB live, 40.2MiB allocated

Counts

22 → 135

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (- 1 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2))) (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)))
6.0ms	x	@	0	((- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (- 1 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2))) (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)))
4.0ms	x	@	-inf	((- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (- 1 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2))) (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)))

Time

Variable

Point

Expression

8.0ms

inf

((- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (- 1 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2))) (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)))

6.0ms

((- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (- 1 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2))) (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)))

4.0ms

-inf

((- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (/ 1/2 x) 1/2) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (- 1 (sqrt 1/2))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (/ (sqrt 1/2) x) (sqrt 1/2) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2))) (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)))

simplify197.0ms (2%)

Memory

-11.5MiB live, 234.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	2879
1	1957	2441
2	6808	2414
0	8261	2279

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 135

Calls

Call 1

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

Outputs
(* -1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))
(.f64 (.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x #s(literal -1/4 binary64)) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 35/256 binary64) (.f64 x x) #s(literal -5/32 binary64)) (.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x)
-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 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal -2 binary64))
(* 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 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 (neg.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (+ 1 (* (pow x 2) (- (* (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 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (.f64 #s(literal -11/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* (sqrt 1/2) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (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 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) x)
(* 1/8 (/ (sqrt 1/2) (pow x 2)))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/ (+ (* -1/2 (* x (sqrt 1/2))) (* 1/8 (sqrt 1/2))) (pow x 2))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) x) x)
(/ (+ (* 1/8 (sqrt 1/2)) (* x (+ (* -1/2 (sqrt 1/2)) (* x (- 1 (sqrt 1/2)))))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) x)) (*.f64 x x))
(/ (sqrt 1/2) x)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(+ 1 (* -1/2 (* (pow x 2) (pow (sqrt 1/2) 2))))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* 3/8 (* (pow x 2) (pow (sqrt 1/2) 2))))))
(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -5/16 (* (pow x 2) (pow (sqrt 1/2) 2))) (* 3/8 (pow (sqrt 1/2) 2)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) x) x #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1/2 (* (pow x 2) (sqrt 1/2)))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))
(* (pow x 2) (- (* 3/8 (* (pow x 2) (sqrt 1/2))) (* 1/2 (sqrt 1/2))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -5/16 (* (pow x 2) (sqrt 1/2))) (* -3/8 (sqrt 1/2)))) (* 1/2 (sqrt 1/2))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -5/16 binary64) (.f64 x x) #s(literal 3/8 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 35/128 (* (pow x 2) (sqrt 1/2))) (* 5/16 (sqrt 1/2)))) (* -3/8 (sqrt 1/2)))) (* 1/2 (sqrt 1/2))))
(.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 35/128 binary64) (.f64 x x) #s(literal -5/16 binary64))) (.f64 x x) (.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x))
(* 1/2 (* (pow x 2) (sqrt 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ (* -3/8 (* (pow x 2) (sqrt 1/2))) (* 1/2 (sqrt 1/2))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/8 binary64) (.f64 x x) #s(literal 1/2 binary64))) (.f64 x x))
(* (pow x 2) (+ (* 1/2 (sqrt 1/2)) (* (pow x 2) (+ (* -3/8 (sqrt 1/2)) (* 5/16 (* (pow x 2) (sqrt 1/2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/16 binary64) (.f64 x x) #s(literal -3/8 binary64))) (.f64 x x) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 x x))
(* (pow x 2) (+ (* 1/2 (sqrt 1/2)) (* (pow x 2) (+ (* -3/8 (sqrt 1/2)) (* (pow x 2) (+ (* -35/128 (* (pow x 2) (sqrt 1/2))) (* 5/16 (sqrt 1/2))))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -3/8 binary64) (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -35/128 binary64) (.f64 x x) #s(literal 5/16 binary64))))) (.f64 x x))
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (pow x 2))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -3/8 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 5/16 (pow x 2)) 3/8))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) (.f64 x x) #s(literal -3/8 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 5/16 (* -35/128 (pow x 2)))) 3/8))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/128 binary64) (.f64 x x) #s(literal 5/16 binary64)) (.f64 x x) #s(literal -3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ 1 x)) 1/2)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3))))
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(+ (* -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)))))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+ (* -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)))))
(+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 1/32 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -3/64 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 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 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64))) (neg.f64 x))) x))
(- (+ 1 (* -1 (/ (+ (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(+ 1 (+ (* -1 (/ (pow (sqrt 1/2) 2) x)) (* -1 (pow (sqrt 1/2) 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (pow (sqrt 1/2) 2)) x)) (* -1 (pow (sqrt 1/2) 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 4))) (pow (sqrt 1/2) 2))) x)) (* -1 (pow (sqrt 1/2) 2))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))
(- (* -1 (/ (sqrt 1/2) x)) (sqrt 1/2))
(-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (* -1 (/ (- (* -1/2 (/ (sqrt 1/2) (pow x 2))) (* -1 (sqrt 1/2))) x)) (sqrt 1/2))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (* -1 (/ (- (* 3/8 (/ (sqrt 1/2) (pow x 4))) (+ (* -1 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) (pow x 2))))) x)) (sqrt 1/2))
(-.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 3/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))))
(+ (sqrt 1/2) (/ (sqrt 1/2) x))
(+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) (pow x 2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (sqrt 1/2)) (+ (* -3/8 (/ (sqrt 1/2) (pow x 4))) (* 1/2 (/ (sqrt 1/2) (pow x 2))))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/8 binary64) (-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(- (+ 1 (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ 1 (* -1 (/ (- (* -1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/32 binary64) x) (sqrt.f64 #s(literal 8 binary64)) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/4 binary64)) #s(literal 1/8 binary64) #s(literal -1/4 binary64)) x) (.f64 #s(literal 1/32 binary64) (sqrt.f64 #s(literal 8 binary64)))) (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) x))
(+ 1 (* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x))

rewrite173.0ms (1.8%)

Memory

15.9MiB live, 208.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	259
0	74	259
1	341	225
2	2993	225
0	8601	223

Stop Event

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

Counts

22 → 702

Calls

Call 1

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

Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
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(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))

eval132.0ms (1.4%)

Memory: 8.3MiB live, 204.3MiB allocated
Compiler: Compiled 34 038 to 3 813 computations (88.8% saved)

prune48.0ms (0.5%)

Memory

-7.9MiB live, 75.4MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	940	16	956
Fresh	7	1	8
Picked	3	2	5
Done	0	0	0
Total	950	19	969

Accuracy

100.0%

Counts

969 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.6%	(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
▶	83.4%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
	83.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
	83.4%	(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
	53.4%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
▶	83.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	83.4%	(-.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) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
✓	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	53.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	53.8%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	47.3%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	48.6%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
	47.2%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	48.9%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
▶	52.3%	#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
▶	53.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 228 to 666 computations (45.8% saved)

simplify135.0ms (1.4%)

Memory

14.6MiB live, 168.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	433
0	103	427
1	183	408
2	360	397
3	799	395
4	2189	395
5	5947	395
0	8082	395

Stop Event

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

Calls

Call 1

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

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

localize292.0ms (3%)

Memory

-1.7MiB live, 344.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.046875	(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
accuracy	0.2371807327698513	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
accuracy	10.62809838648326	(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))
accuracy	0.08660126953688403	(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
accuracy	0.49609375	(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
accuracy	29.76551116871306	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
accuracy	0.0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.24056625976844204	(fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
accuracy	1.0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy	29.998004384209164	#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(.f64 #s(literal 1/8 binary64) (.f64 x x))
accuracy	32.72409282570764	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.01171875	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
accuracy	0.01953125	(pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy	10.623793845815506	(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))

Samples

141.0ms	82×	2	valid
58.0ms	137×	0	valid
22.0ms	12×	3	valid
20.0ms	25×	1	valid

Compiler

Compiled 568 to 58 computations (89.8% saved)

Precisions

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

ival-div: 44.0ms (22.4% of total)

ival-sub: 40.0ms (20.4% of total)

adjust: 28.0ms (14.3% of total)

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

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

ival-sqrt: 16.0ms (8.2% of total)

ival-hypot: 14.0ms (7.1% of total)

ival-pow: 7.0ms (3.6% of total)

ival-pow2: 5.0ms (2.5% of total)

ival-neg: 4.0ms (2% of total)

exact: 1.0ms (0.5% of total)

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

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

series40.0ms (0.4%)

Memory

-9.7MiB live, 25.4MiB allocated

Counts

23 → 138

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))))
-2
(- (* 1/8 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2)
(* 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))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4))
(pow x 2)
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
(* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* -1/4 (/ (sqrt 2) x))
(/ (+ (* -1/4 (sqrt 2)) (* x (- 1 (sqrt 1/2)))) x)
(/ -1/4 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)))
(* 1/8 (/ (sqrt 1/2) (pow x 2)))
(/ (+ (* -1/2 (* x (sqrt 1/2))) (* 1/8 (sqrt 1/2))) (pow x 2))
(/ (+ (* 1/8 (sqrt 1/2)) (* x (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))))) (pow x 2))
(/ (sqrt 1/2) x)
(* 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))))
(/ 8 (pow x 2))
(/ (+ 8 (* 11/2 (pow x 2))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* -17/32 (pow x 2))))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* (pow x 2) (- (* 69/256 (pow x 2)) 17/32))))) (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)))
1/4
(+ 1/4 (* 1/4 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(/ 1/8 x)
(/ (+ 1/8 (* -1/2 x)) x)
3/2
(- 3/2 (* 1/2 (/ 1 x)))
(- (+ 3/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 3/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(* -1 (+ 1 (sqrt 1/2)))
(* -1 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
(- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (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 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))))
(/ 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 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* 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)))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 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)) (+ (* -1/4 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 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))))) (+ (* -1/32 (/ (+ (* 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 (/ (+ (* 1/8 (/ 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)))))) (+ (/ 1/4 (* (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)))))))))))
-1/2
(- (* 1/2 (/ 1 x)) 1/2)
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3))))
(- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3))))
(- (+ (* 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 (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* 1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))))
(- (+ 1 (* -1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) (pow x 3)) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/4 (/ (sqrt 2) x))) (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)))))
(+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* 1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
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)))))
(* 2 (+ 1 (sqrt 1/2)))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2)))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2))))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (+ (/ 1/64 (* (pow x 3) (pow (sqrt 1/2) 5))) (/ 1/2 (* x (sqrt 1/2))))) (+ (* -2 (/ (+ 1 (sqrt 1/2)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 3))) (+ (/ 1/16 (* (pow x 3) (pow (sqrt 1/2) 3))) (+ (/ 1/4 (* (pow x 3) (sqrt 1/2))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (/ 1 (pow x 3)) (/ (sqrt 1/2) (pow x 3))))))))))
(+ 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 (/ 1 x))
(- (+ 1 (/ 1/4 (pow x 2))) (/ 1 x))
(- (+ 1 (+ (/ 1/4 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(- (* 1/8 (/ 1 x)) 1/2)
(+ 3/2 (* 1/2 (/ 1 x)))
(+ 3/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 3/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(- (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2)))
(- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2)))) (+ 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 (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 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
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(* -1 (+ 1/2 (* 1/2 (/ 1 x))))
(- (* -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 (/ (- (* -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 (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 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 (/ (+ (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 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 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (+ (* 1/2 (/ 1 (sqrt 1/2))) (/ 1/16 (* x (pow (sqrt 1/2) 3))))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 5))) (+ 1 (+ (sqrt 1/2) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (+ (* 1/16 (/ 1 (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))))) x)) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3))))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 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))))
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/4 (pow x 2)) (/ 1 x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)) 1) x)))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

((+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (+ (* (/ -1/4 x) (sqrt 2)) (- 1 (sqrt 1/2))) (/ -1/4 x) (sqrt 2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (+ -1/2 (/ 1/8 x)))

6.0ms

inf

((+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (+ (* (/ -1/4 x) (sqrt 2)) (- 1 (sqrt 1/2))) (/ -1/4 x) (sqrt 2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (+ -1/2 (/ 1/8 x)))

4.0ms

-inf

((+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1) (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* 1/8 (* x x)) (* x x) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (+ (* (/ -1/4 x) (sqrt 2)) (- 1 (sqrt 1/2))) (/ -1/4 x) (sqrt 2) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (+ (* (/ (sqrt 1/2) x) (+ -1/2 (/ 1/8 x))) (/ 1/2 (+ (sqrt 1/2) 1))) (/ (sqrt 1/2) x) (sqrt 1/2) (/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))))) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1 (sqrt 1/2)) (+ -1/2 (/ 1/8 x)))

simplify217.0ms (2.2%)

Memory

12.7MiB live, 260.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	655	3473
1	2008	2969
2	6939	2940
0	8473	2786

Stop Event

1×	iter limit
1×	node limit

Counts

138 → 138

Calls

Call 1

Inputs
1
(+ 1 (* 1/4 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))))
-2
(- (* 1/8 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2)
(* 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))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4))
(pow x 2)
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
(* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* -1/4 (/ (sqrt 2) x))
(/ (+ (* -1/4 (sqrt 2)) (* x (- 1 (sqrt 1/2)))) x)
(/ -1/4 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)))
(* 1/8 (/ (sqrt 1/2) (pow x 2)))
(/ (+ (* -1/2 (* x (sqrt 1/2))) (* 1/8 (sqrt 1/2))) (pow x 2))
(/ (+ (* 1/8 (sqrt 1/2)) (* x (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))))) (pow x 2))
(/ (sqrt 1/2) x)
(* 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))))
(/ 8 (pow x 2))
(/ (+ 8 (* 11/2 (pow x 2))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* -17/32 (pow x 2))))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* (pow x 2) (- (* 69/256 (pow x 2)) 17/32))))) (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)))
1/4
(+ 1/4 (* 1/4 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(/ 1/8 x)
(/ (+ 1/8 (* -1/2 x)) x)
3/2
(- 3/2 (* 1/2 (/ 1 x)))
(- (+ 3/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 3/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(* -1 (+ 1 (sqrt 1/2)))
(* -1 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
(- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (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 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))))
(/ 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 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* 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)))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 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)) (+ (* -1/4 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 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))))) (+ (* -1/32 (/ (+ (* 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 (/ (+ (* 1/8 (/ 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)))))) (+ (/ 1/4 (* (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)))))))))))
-1/2
(- (* 1/2 (/ 1 x)) 1/2)
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3))))
(- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3))))
(- (+ (* 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 (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* 1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))))
(- (+ 1 (* -1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) (pow x 3)) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))))
(- 1 (sqrt 1/2))
(- (+ 1 (* -1/4 (/ (sqrt 2) x))) (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)))))
(+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* 1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
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)))))
(* 2 (+ 1 (sqrt 1/2)))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2)))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2))))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (+ (/ 1/64 (* (pow x 3) (pow (sqrt 1/2) 5))) (/ 1/2 (* x (sqrt 1/2))))) (+ (* -2 (/ (+ 1 (sqrt 1/2)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 3))) (+ (/ 1/16 (* (pow x 3) (pow (sqrt 1/2) 3))) (+ (/ 1/4 (* (pow x 3) (sqrt 1/2))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (/ 1 (pow x 3)) (/ (sqrt 1/2) (pow x 3))))))))))
(+ 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 (/ 1 x))
(- (+ 1 (/ 1/4 (pow x 2))) (/ 1 x))
(- (+ 1 (+ (/ 1/4 (pow x 2)) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(- (* 1/8 (/ 1 x)) 1/2)
(+ 3/2 (* 1/2 (/ 1 x)))
(+ 3/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 3/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(- (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2)))
(- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2)))) (+ 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 (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 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* -1 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 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)))) (+ (* -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 (+ 1 (sqrt 1/2))))))) 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))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* -1 (+ 1/2 (* 1/2 (/ 1 x))))
(- (* -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 (/ (- (* -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 (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 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 (/ (+ (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 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 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (+ (* 1/2 (/ 1 (sqrt 1/2))) (/ 1/16 (* x (pow (sqrt 1/2) 3))))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 5))) (+ 1 (+ (sqrt 1/2) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (+ (* 1/16 (/ 1 (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))))) x)) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3))))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 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))))
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/4 (pow x 2)) (/ 1 x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)) 1) x)))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -3/16 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/32 binary64) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
-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 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal -2 binary64))
(* 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 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* -1/4 (pow x 2))
(.f64 #s(literal -1/4 binary64) (.f64 x x))
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))
(.f64 (.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 35/256 binary64) (.f64 x x) #s(literal -5/32 binary64)) (.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* -1/4 (/ (sqrt 2) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1/4 binary64))
(/ (+ (* -1/4 (sqrt 2)) (* x (- 1 (sqrt 1/2)))) x)
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x)
(/ -1/4 x)
(/.f64 #s(literal -1/4 binary64) x)
(- 1 (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 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 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 x x) (/.f64 (neg.f64 (.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(- (+ 1 (* (pow x 2) (- (* (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 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x) (.f64 #s(literal -11/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* 1/8 (/ (sqrt 1/2) (pow x 2)))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(/ (+ (* -1/2 (* x (sqrt 1/2))) (* 1/8 (sqrt 1/2))) (pow x 2))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64))) x) x)
(/ (+ (* 1/8 (sqrt 1/2)) (* x (+ (* -1/2 (sqrt 1/2)) (* 1/2 (/ x (+ 1 (sqrt 1/2))))))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) (.f64 (.f64 (/.f64 x (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x)) (*.f64 x x))
(/ (sqrt 1/2) x)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/32 binary64) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(/ 8 (pow x 2))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(/ (+ 8 (* 11/2 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 11/2 binary64) (*.f64 x x) #s(literal 8 binary64)) x) x)
(/ (+ 8 (* (pow x 2) (+ 11/2 (* -17/32 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)
(/ (+ 8 (* (pow x 2) (+ 11/2 (* (pow x 2) (- (* 69/256 (pow x 2)) 17/32))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 2 binary64))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/4 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 x x) #s(literal 1/4 binary64)) (.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* -1/2 x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/8 binary64)) x)
3/2
#s(literal 3/2 binary64)
(- 3/2 (* 1/2 (/ 1 x)))
(-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (+ 3/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(- (+ 3/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 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 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
(- (+ (* -1/2 (/ (- (* 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 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 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 (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
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(-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (+ (* 1/2 (/ 1 (sqrt 1/2))) (/ 1/16 (* x (pow (sqrt 1/2) 3))))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) x))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 5))) (+ 1 (+ (sqrt 1/2) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (+ (* 1/16 (/ 1 (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))))) x)) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3))))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (-.f64 (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))) x))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(+ 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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
(+ 1 (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+ 1 (+ (/ 1/4 (pow x 2)) (/ 1 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1/4 (* 1/2 (/ 1 x))) x)) 1) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))

rewrite201.0ms (2.1%)

Memory

3.8MiB live, 355.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	312
0	103	299
1	471	209
2	4331	209
0	8702	208

Stop Event

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

Counts

23 → 790

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
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(.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal -1/8 binary64)))) (pow.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal -1/8 binary64)))) (sqrt.f64 (+.f64 (fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 (pow.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/16 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) #s(literal -1/8 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/512 binary64) #s(literal -1/8 binary64))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/8 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))

eval202.0ms (2.1%)

Memory: 25.0MiB live, 342.7MiB allocated
Compiler: Compiled 40 709 to 3 353 computations (91.8% saved)

prune37.0ms (0.4%)

Memory

-24.0MiB live, 98.7MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	897	16	913
Fresh	8	4	12
Picked	2	3	5
Done	0	2	2
Total	907	25	932

Accuracy

100.0%

Counts

932 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
	83.4%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
	83.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
	83.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
	82.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	83.4%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶	83.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
▶	83.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	48.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)))
	48.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
	83.4%	(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
▶	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
▶	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
✓	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	53.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	83.4%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
	53.8%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	47.3%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	48.6%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
▶	47.2%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	48.9%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	53.1%	#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	52.3%	#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	53.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 826 to 922 computations (49.5% saved)

simplify184.0ms (1.9%)

Memory

-9.1MiB live, 144.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
cost-diff	0	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
cost-diff	0	(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
cost-diff	0	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
cost-diff	2	(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	571
0	99	571
1	175	560
2	398	541
3	1258	529
4	4566	524
0	8566	519

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 7/4 binary64))) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 7/4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 7/4 binary64)))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 7/4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 7/4 binary64))
(+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
#s(literal 3/2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x) x)
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) x)
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))
#s(literal -11/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64))))
#s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #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 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(hypot.f64 #s(literal 1 binary64) x)
x
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))

localize340.0ms (3.5%)

Memory

23.7MiB live, 355.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.046875	(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	0.2371807327698513	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
accuracy	10.61141132627862	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
accuracy	0.0078125	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
accuracy	0.0078125	(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
accuracy	11.145211063242854	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
accuracy	0.0390625	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
accuracy	0.5288338930015611	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
accuracy	11.145211063242854	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
accuracy	30.202485441691895	#s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))
accuracy	0.03125	(.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
accuracy	0.0390625	(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
accuracy	0.07421875	(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
accuracy	33.82329302848424	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
accuracy	0.046875	(/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
accuracy	0.2371807327698513	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
accuracy	0.2449932327698513	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))
accuracy	10.611271818719043	(-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))

Samples

164.0ms	83×	2	valid
70.0ms	137×	0	valid
24.0ms	11×	3	valid
21.0ms	25×	1	valid

Compiler

Compiled 779 to 59 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-add: 68.0ms (29.2% of total)

ival-div: 35.0ms (15% of total)

ival-mult: 34.0ms (14.6% of total)

adjust: 31.0ms (13.3% of total)

ival-sub: 19.0ms (8.2% of total)

ival-hypot: 13.0ms (5.6% of total)

ival-pow: 11.0ms (4.7% of total)

ival-sqrt: 10.0ms (4.3% of total)

ival-pow2: 5.0ms (2.1% of total)

ival-neg: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

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

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

series31.0ms (0.3%)

Memory

4.4MiB live, 41.8MiB allocated

Counts

23 → 166

Calls

Call 1

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

Outputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(* 1/4 (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))))
3
(+ 3 (* -3/4 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 5/8 (pow x 2)) 3/4)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 5/8 (* -9/16 (pow x 2)))) 3/4)))
(/ 8 (pow x 2))
(/ (+ 8 (* 11/2 (pow x 2))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* -17/32 (pow x 2))))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* (pow x 2) (- (* 69/256 (pow x 2)) 17/32))))) (pow x 2))
(* 1/8 x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
(* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
1
(+ 1 (* -1/4 (* (pow x 2) (pow (sqrt 1/2) 2))))
(+ 1 (* (pow x 2) (+ (* -1/4 (pow (sqrt 1/2) 2)) (* 1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))
(+ 1 (* (pow x 2) (+ (* -1/4 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))))
(+ 1 (* -1/2 (* (pow x 2) (pow (sqrt 1/2) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* 3/8 (* (pow x 2) (pow (sqrt 1/2) 2))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -5/16 (* (pow x 2) (pow (sqrt 1/2) 2))) (* 3/8 (pow (sqrt 1/2) 2)))))))
(/ -1/4 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
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)))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* -3/4 (pow x 2))))
(* (pow x 2) (+ 3/4 (* (pow x 2) (- (* 49/64 (pow x 2)) 3/4))))
(* (pow x 2) (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 49/64 (* -201/256 (pow x 2)))) 3/4))))
(/ 1/4 (pow x 2))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* -1 (/ (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 3/14 (* x (+ 1 (sqrt 1/2))))))
(- (+ (/ 1/28 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2))))) (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 2/7 (/ (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 3/14 (* x (+ 1 (sqrt 1/2)))) (* 3/14 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))))))
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)))))
7/4
(+ 7/4 (/ 1 x))
(+ 7/4 (+ (/ 1/4 (pow x 2)) (/ 1 x)))
(- (+ 7/4 (+ (/ 1/4 (pow x 2)) (/ 1 x))) (* 1/2 (/ 1 (pow x 3))))
(* 2 (+ 1 (sqrt 1/2)))
(- (+ (* 8/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) x)) (* 2 (+ 1 (sqrt 1/2)))) (* -6/7 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* 8/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) x)) (+ (* 8/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (* 2 (+ 1 (sqrt 1/2))))) (+ (* -6/7 (/ (+ 1 (sqrt 1/2)) x)) (+ (* -6/7 (/ (+ 1 (sqrt 1/2)) (pow x 2))) (* -3/7 (/ (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))) (pow x 2))))))
(- (+ (* 8/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) x)) (+ (* 8/7 (/ (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 3))) (+ (* 8/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (* 2 (+ 1 (sqrt 1/2)))))) (+ (* -6/7 (/ (+ 1 (sqrt 1/2)) x)) (+ (* -6/7 (/ (+ 1 (sqrt 1/2)) (pow x 2))) (+ (* -3/7 (/ (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))) (pow x 2))) (+ (* -3/7 (/ (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))) (pow x 3))) (+ (* -3/7 (/ (- (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))))) (pow x 3))) (* 1/7 (/ (+ 1 (sqrt 1/2)) (pow x 3)))))))))
(+ (* -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 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* 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)))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 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)) (+ (* -1/4 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 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))))) (+ (* -1/32 (/ (+ (* 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 (/ (+ (* 1/8 (/ 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)))))) (+ (/ 1/4 (* (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)))))))))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(- 1 (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* 1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))))
(- (+ 1 (* -1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) (pow x 3)) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))))
(sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (+ (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) (pow x 3)) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))))
(+ 1 (* -1 (pow (sqrt 1/2) 2)))
(+ 1 (+ (* -1 (pow (sqrt 1/2) 2)) (/ (pow (sqrt 1/2) 2) x)))
(+ 1 (+ (* -1 (pow (sqrt 1/2) 2)) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (/ (pow (sqrt 1/2) 2) x))))
(+ 1 (+ (* -1 (pow (sqrt 1/2) 2)) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 5))) (/ (pow (sqrt 1/2) 2) x)))))
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(- (+ (* 1/64 (/ 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))))))))))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2)))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2))))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (+ (/ 1/64 (* (pow x 3) (pow (sqrt 1/2) 5))) (/ 1/2 (* x (sqrt 1/2))))) (+ (* -2 (/ (+ 1 (sqrt 1/2)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 3))) (+ (/ 1/16 (* (pow x 3) (pow (sqrt 1/2) 3))) (+ (/ 1/4 (* (pow x 3) (sqrt 1/2))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (/ 1 (pow x 3)) (/ (sqrt 1/2) (pow x 3))))))))))
(+ 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)))))
7/8
(- 7/8 (* 3/8 (/ 1 x)))
(+ 7/8 (* -1 (/ (+ 3/8 (* 3/8 (/ 1 x))) x)))
(- (+ 7/8 (* 1/16 (/ 1 (pow x 3)))) (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x))))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 3/14 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 3/14 (* x (+ 1 (sqrt 1/2)))))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/28 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) (+ 1 (sqrt 1/2)))) (+ (* -4/7 (/ (* (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2))))) (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ 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)))
(- 7/4 (/ 1 x))
(+ 7/4 (* -1 (/ (- 1 (* 1/4 (/ 1 x))) x)))
(+ 7/4 (* -1 (/ (+ 1 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x))) x)))
(+ (* -1 (/ (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))))) x)) (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))))) (* -6/7 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 8/7 (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))) (+ (* -3/7 (- (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))))))) (* 1/7 (+ 1 (sqrt 1/2)))))) x)) (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))))) x)) (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))))) (* -6/7 (+ 1 (sqrt 1/2)))) x)) (* 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 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* -1 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 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)))) (+ (* -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 (+ 1 (sqrt 1/2))))))) 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))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
(- (+ 1 (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* -1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* -1 (/ (+ (* 1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x)))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x)))
(+ 1 (+ (* -1 (/ (pow (sqrt 1/2) 2) x)) (* -1 (pow (sqrt 1/2) 2))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (pow (sqrt 1/2) 2)) x)) (* -1 (pow (sqrt 1/2) 2))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 4))) (pow (sqrt 1/2) 2))) x)) (* -1 (pow (sqrt 1/2) 2))))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* 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 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (+ (* 1/2 (/ 1 (sqrt 1/2))) (/ 1/16 (* x (pow (sqrt 1/2) 3))))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 5))) (+ 1 (+ (sqrt 1/2) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (+ (* 1/16 (/ 1 (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))))) x)) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3))))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 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))))
(+ 7/8 (* 3/8 (/ 1 x)))
(+ 7/8 (* -1 (/ (- (* 3/8 (/ 1 x)) 3/8) x)))
(+ 7/8 (* -1 (/ (- (+ (/ 1/16 (pow x 2)) (* 3/8 (/ 1 x))) 3/8) x)))

Calls

3 calls:

Time

Variable

Point

Expression

14.0ms

((/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)))))) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)))) (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+ (/ (- 1/2 (/ 1/4 (* x x))) x) 1/2) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)) (/ 1/4 (* x x)) (/ (- 1/2 (/ 1/4 (* x x))) x) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))

7.0ms

inf

((/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)))))) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)))) (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+ (/ (- 1/2 (/ 1/4 (* x x))) x) 1/2) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)) (/ 1/4 (* x x)) (/ (- 1/2 (/ 1/4 (* x x))) x) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))

4.0ms

-inf

((/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)))))) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)))) (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (* (* (+ (* -11/128 (* x x)) 1/8) x) x) (* (+ (* -11/128 (* x x)) 1/8) x) (+ (* -11/128 (* x x)) 1/8) (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+ (/ (- 1/2 (/ 1/4 (* x x))) x) 1/2) (- 1 (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) (/ 1 (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3)) (/ 1/4 (* x x)) (/ (- 1/2 (/ 1/4 (* x x))) x) (- 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))

simplify219.0ms (2.3%)

Memory

-28.8MiB live, 283.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	5698
1	2717	4643
0	8635	4385

Stop Event

1×	iter limit
1×	node limit

Counts

166 → 166

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))))
(* 1/4 (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))))
3
(+ 3 (* -3/4 (pow x 2)))
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(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 5/8 (* -9/16 (pow x 2)))) 3/4)))
(/ 8 (pow x 2))
(/ (+ 8 (* 11/2 (pow x 2))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* -17/32 (pow x 2))))) (pow x 2))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* (pow x 2) (- (* 69/256 (pow x 2)) 17/32))))) (pow x 2))
(* 1/8 x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
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(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
1
(+ 1 (* -1/4 (* (pow x 2) (pow (sqrt 1/2) 2))))
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(+ 1 (* (pow x 2) (+ (* -1/4 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))))
(+ 1 (* -1/2 (* (pow x 2) (pow (sqrt 1/2) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* 3/8 (* (pow x 2) (pow (sqrt 1/2) 2))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -5/16 (* (pow x 2) (pow (sqrt 1/2) 2))) (* 3/8 (pow (sqrt 1/2) 2)))))))
(/ -1/4 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
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)))
(* 3/4 (pow x 2))
(* (pow x 2) (+ 3/4 (* -3/4 (pow x 2))))
(* (pow x 2) (+ 3/4 (* (pow x 2) (- (* 49/64 (pow x 2)) 3/4))))
(* (pow x 2) (+ 3/4 (* (pow x 2) (- (* (pow x 2) (+ 49/64 (* -201/256 (pow x 2)))) 3/4))))
(/ 1/4 (pow x 2))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2)))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* -1 (/ (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2))))) (pow x 2))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 3/14 (* x (+ 1 (sqrt 1/2))))))
(- (+ (/ 1/28 (* (pow x 3) (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2))))) (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 2/7 (/ (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (* (pow x 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (* (pow x 2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 3/14 (* x (+ 1 (sqrt 1/2)))) (* 3/14 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))))))
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)))))
7/4
(+ 7/4 (/ 1 x))
(+ 7/4 (+ (/ 1/4 (pow x 2)) (/ 1 x)))
(- (+ 7/4 (+ (/ 1/4 (pow x 2)) (/ 1 x))) (* 1/2 (/ 1 (pow x 3))))
(* 2 (+ 1 (sqrt 1/2)))
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(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(- 1 (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* 1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))))
(- (+ 1 (* -1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) (pow x 3)) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))))
(sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (+ (* -1/8 (* (/ (pow (sqrt 1/2) 4) (pow x 2)) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (+ (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) (pow x 3)) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))))
(+ 1 (* -1 (pow (sqrt 1/2) 2)))
(+ 1 (+ (* -1 (pow (sqrt 1/2) 2)) (/ (pow (sqrt 1/2) 2) x)))
(+ 1 (+ (* -1 (pow (sqrt 1/2) 2)) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (/ (pow (sqrt 1/2) 2) x))))
(+ 1 (+ (* -1 (pow (sqrt 1/2) 2)) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 3))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 5))) (/ (pow (sqrt 1/2) 2) x)))))
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(- (+ (* 1/64 (/ 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))))))))))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2)))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 2))) (+ (* 2 (+ 1 (sqrt 1/2))) (/ 1/2 (* x (sqrt 1/2))))) (* -2 (/ (+ 1 (sqrt 1/2)) x)))
(- (+ (* 2 (+ 1 (sqrt 1/2))) (+ (/ 1/64 (* (pow x 3) (pow (sqrt 1/2) 5))) (/ 1/2 (* x (sqrt 1/2))))) (+ (* -2 (/ (+ 1 (sqrt 1/2)) x)) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) (pow x 3))) (+ (/ 1/16 (* (pow x 3) (pow (sqrt 1/2) 3))) (+ (/ 1/4 (* (pow x 3) (sqrt 1/2))) (+ (* 1/16 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (/ 1 (pow x 3)) (/ (sqrt 1/2) (pow x 3))))))))))
(+ 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)))))
7/8
(- 7/8 (* 3/8 (/ 1 x)))
(+ 7/8 (* -1 (/ (+ 3/8 (* 3/8 (/ 1 x))) x)))
(- (+ 7/8 (* 1/16 (/ 1 (pow x 3)))) (+ (/ 3/8 (pow x 2)) (* 3/8 (/ 1 x))))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 3/14 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (* x (+ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (* x (pow (+ 1 (sqrt 1/2)) 2)))) (/ 3/14 (* x (+ 1 (sqrt 1/2)))))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/28 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) (+ 1 (sqrt 1/2)))) (+ (* -4/7 (/ (* (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2))))) (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (+ (* -4/7 (/ (* (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (+ (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))) (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))))) (+ 1 (sqrt 1/2)))) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))) (pow (+ 1 (sqrt 1/2)) 2)))))) x)) (+ (* 3/14 (/ 1 (+ 1 (sqrt 1/2)))) (* 2/7 (/ (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ 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)))
(- 7/4 (/ 1 x))
(+ 7/4 (* -1 (/ (- 1 (* 1/4 (/ 1 x))) x)))
(+ 7/4 (* -1 (/ (+ 1 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 x))) x))) x)))
(+ (* -1 (/ (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))))) x)) (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))))) (* -6/7 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 8/7 (- (+ (* -1/2 (+ 1 (sqrt 1/2))) (+ (* 1/16 (/ 1 (sqrt 1/2))) (* 7/8 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))) (+ (* -3/7 (- (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2)))))))) (* 1/7 (+ 1 (sqrt 1/2)))))) x)) (* 8/7 (- (+ (* 1/4 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) (* 7/128 (/ 1 (pow (sqrt 1/2) 3)))))) (+ (* -6/7 (+ 1 (sqrt 1/2))) (* -3/7 (- (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2)))))) (* -6/7 (+ 1 (sqrt 1/2))))))) x)) (* 8/7 (+ 1 (+ (sqrt 1/2) (* 7/16 (/ 1 (sqrt 1/2))))))) (* -6/7 (+ 1 (sqrt 1/2)))) x)) (* 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 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (+ (* -1 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 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))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 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)))) (+ (* -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 (+ 1 (sqrt 1/2))))))) 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))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))
(- (+ 1 (* 1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x))) (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* -1/2 (* (/ (pow (sqrt 1/2) 2) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* -1 (/ (+ (* 1/8 (* (/ (pow (sqrt 1/2) 4) x) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3))))) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x)))
(+ (sqrt (+ 1 (* -1 (pow (sqrt 1/2) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* -1/2 (pow (sqrt 1/2) 2)) (* -1/8 (/ (pow (sqrt 1/2) 6) (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 2)))) x) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2))))))) (* -1/8 (* (pow (sqrt 1/2) 4) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (sqrt 1/2) 2))) 3)))))) x)) (* 1/2 (* (pow (sqrt 1/2) 2) (sqrt (/ 1 (+ 1 (* -1 (pow (sqrt 1/2) 2)))))))) x)))
(+ 1 (+ (* -1 (/ (pow (sqrt 1/2) 2) x)) (* -1 (pow (sqrt 1/2) 2))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (pow (sqrt 1/2) 2)) x)) (* -1 (pow (sqrt 1/2) 2))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt 1/2) 2) (pow x 4))) (pow (sqrt 1/2) 2))) x)) (* -1 (pow (sqrt 1/2) 2))))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* 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 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2)))) x)) (+ (* 1/2 (/ 1 (sqrt 1/2))) (/ 1/16 (* x (pow (sqrt 1/2) 3))))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 1 (sqrt 1/2))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 5))) (+ 1 (+ (sqrt 1/2) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (+ (* 1/16 (/ 1 (pow (sqrt 1/2) 3))) (* 1/4 (/ 1 (sqrt 1/2)))))))) x)) (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1/2))) (* -2 (+ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (pow (sqrt 1/2) 3))))) x)) (* 1/2 (/ 1 (sqrt 1/2)))) (* -2 (+ 1 (sqrt 1/2)))) x)) (* 2 (+ 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))))
(+ 7/8 (* 3/8 (/ 1 x)))
(+ 7/8 (* -1 (/ (- (* 3/8 (/ 1 x)) 3/8) x)))
(+ 7/8 (* -1 (/ (- (+ (/ 1/16 (pow x 2)) (* 3/8 (/ 1 x))) 3/8) x)))

Outputs
(* 1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 5/32 binary64) (.f64 x x) #s(literal -3/16 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -35/256 binary64) (.f64 x x) #s(literal 5/32 binary64)) (.f64 x x) #s(literal -3/16 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
3
#s(literal 3 binary64)
(+ 3 (* -3/4 (pow x 2)))
(fma.f64 #s(literal -3/4 binary64) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 5/8 (pow x 2)) 3/4)))
(fma.f64 (fma.f64 #s(literal 5/8 binary64) (.f64 x x) #s(literal -3/4 binary64)) (.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 5/8 (* -9/16 (pow x 2)))) 3/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -9/16 binary64) (.f64 x x) #s(literal 5/8 binary64)) (.f64 x x) #s(literal -3/4 binary64)) (*.f64 x x) #s(literal 3 binary64))
(/ 8 (pow x 2))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(/ (+ 8 (* 11/2 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 #s(literal 11/2 binary64) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* -17/32 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))
(/ (+ 8 (* (pow x 2) (+ 11/2 (* (pow x 2) (- (* 69/256 (pow x 2)) 17/32))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x)
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -11/128 (pow x 2)))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
(* 1/4 (* (pow x 2) (pow (sqrt 1/2) 2)))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow x 2) (- (* 35/128 (pow (sqrt 1/2) 2)) (+ (* -1/4 (* (pow (sqrt 1/2) 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/4 (pow (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))) 2)))))) (* 1/2 (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))) (* -1/4 (pow (sqrt 1/2) 2))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (* (pow x 2) (pow (sqrt 1/2) 2))))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/4 (pow (sqrt 1/2) 2)) (* 1/2 (* (pow x 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4))))))))
(fma.f64 (fma.f64 #s(literal 11/128 binary64) (.f64 x x) #s(literal -1/8 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/4 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -5/16 (pow (sqrt 1/2) 2)) (* -1/4 (* (pow (sqrt 1/2) 2) (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))) (* 1/2 (- (* 3/8 (pow (sqrt 1/2) 2)) (* 1/16 (pow (sqrt 1/2) 4)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/2 (* (pow x 2) (pow (sqrt 1/2) 2))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* 3/8 (* (pow x 2) (pow (sqrt 1/2) 2))))))
(fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (sqrt 1/2) 2)) (* (pow x 2) (+ (* -5/16 (* (pow x 2) (pow (sqrt 1/2) 2))) (* 3/8 (pow (sqrt 1/2) 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))
(/ -1/4 (pow x 3))
(/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
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(-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (neg.f64 x)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64))))) x)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -2 binary64))) x))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) x))
(+ 7/8 (* 3/8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 7/8 binary64))
(+ 7/8 (* -1 (/ (- (* 3/8 (/ 1 x)) 3/8) x)))
(-.f64 #s(literal 7/8 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3/8 binary64)) x))
(+ 7/8 (* -1 (/ (- (+ (/ 1/16 (pow x 2)) (* 3/8 (/ 1 x))) 3/8) x)))
(-.f64 #s(literal 7/8 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 3/8 binary64)) x))

rewrite419.0ms (4.3%)

Memory

-133.0MiB live, 361.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	417
0	99	407
1	480	371
2	4412	359
0	9005	354

Stop Event

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

Counts

23 → 621

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))
(.f64 (exp.f64 (.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (log1p.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (log1p.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) #s(literal -1/2 binary64))) (exp.f64 (.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (log1p.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))

eval185.0ms (1.9%)

Memory: 19.1MiB live, 318.9MiB allocated
Compiler: Compiled 49 927 to 4 121 computations (91.7% saved)

prune88.0ms (0.9%)

Memory

-11.1MiB live, 121.1MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 074	9	1 083
Fresh	5	10	15
Picked	1	4	5
Done	0	5	5
Total	1 080	28	1 108

Accuracy

100.0%

Counts

1 108 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
	83.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
	82.6%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	83.4%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
	83.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
✓	83.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	83.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
	47.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))
	47.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
	83.4%	(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
	83.4%	(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
✓	82.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
✓	51.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
✓	52.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
✓	53.0%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
	32.1%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	31.6%	(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
	83.4%	(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
	53.8%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
	47.3%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
	47.2%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
	48.6%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	47.2%	#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
✓	48.9%	#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
	53.1%	#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓	52.3%	#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
✓	53.5%	#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x 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)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 3 201 to 902 computations (71.8% saved)

regimes104.0ms (1.1%)

Memory

35.9MiB live, 234.0MiB allocated

Counts

55 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log1p.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

20.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
15.0ms	x
14.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
14.0ms	(-.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))))))
13.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
99.9%	2	`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 47 to 37 computations (21.3% saved)

regimes94.0ms (1%)

Memory

-7.8MiB live, 195.2MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
13.0ms	(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	x
13.0ms	(-.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) (/.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 47 to 37 computations (21.3% saved)

regimes326.0ms (3.4%)

Memory

8.4MiB live, 121.1MiB allocated

Counts

47 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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) (hypot.f64 #s(literal 1 binary64) x))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

253.0ms	(hypot.f64 #s(literal 1 binary64) x)
13.0ms	x
12.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	(-.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) (/.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 47 to 37 computations (21.3% saved)

regimes75.0ms (0.8%)

Memory

-32.9MiB live, 101.5MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))

Outputs

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

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

Calls

7 calls:

16.0ms	(hypot.f64 #s(literal 1 binary64) x)
11.0ms	x
11.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
10.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
9.0ms	(+.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 47 to 37 computations (21.3% saved)

regimes85.0ms (0.9%)

Memory

-14.2MiB live, 106.4MiB allocated

Counts

33 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (*.f64 x x) #s(literal 8 binary64)) x) x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #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 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))))

Outputs

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

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

Calls

7 calls:

11.0ms	(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)))))
10.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	x
8.0ms	(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
99.2%	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 47 to 37 computations (21.3% saved)

regimes65.0ms (0.7%)

Memory

37.4MiB live, 74.9MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ ( 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) x))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 69/256 binary64) (.f64 x x) #s(literal -17/32 binary64)) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (.f64 x x))))

Outputs

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

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

Calls

7 calls:

21.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	x
8.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.2%	2	`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 47 to 37 computations (21.3% saved)

regimes52.0ms (0.5%)

Memory

-34.2MiB live, 86.5MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) x) x)))

Outputs

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

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

Calls

7 calls:

10.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
9.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms	x
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
6.0ms	(-.f64 #s(literal 1 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
99.1%	2	`x`
99.1%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.1%	2	`(hypot.f64 #s(literal 1 binary64) x)`
99.1%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.1%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.1%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.1%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes46.0ms (0.5%)

Memory

30.7MiB live, 69.0MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -69/1024 binary64) (.f64 x x) #s(literal 11/128 binary64)) (.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (.f64 x x) #s(literal 3/16 binary64)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (/ 1 (/ (+ (* (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) (+ 3/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1) (- 1 (pow (+ (/ 1/2 (sqrt (+ (* 1 1) (* x x)))) 1/2) 3))))) (/.f64 (fma.f64 (fma.f64 #s(literal -17/32 binary64) (.f64 x x) #s(literal 11/2 binary64)) (.f64 x x) #s(literal 8 binary64)) (*.f64 x x))))

Outputs

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

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

Calls

7 calls:

11.0ms	(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)))))
6.0ms	x
6.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	(-.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
98.8%	2	`x`
98.8%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.8%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.8%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.8%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.8%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes46.0ms (0.5%)

Memory

-13.1MiB live, 67.9MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

16.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms	(hypot.f64 #s(literal 1 binary64) x)
5.0ms	x
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

Accuracy	Segments	Branch
98.7%	2	`x`
98.7%	2	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.7%	2	`(hypot.f64 #s(literal 1 binary64) x)`
98.7%	2	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.7%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.7%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes26.0ms (0.3%)

Memory

16.8MiB live, 54.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
4.0ms	x
4.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms	(hypot.f64 #s(literal 1 binary64) x)
3.0ms	(-.f64 #s(literal 1 binary64) (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
98.6%	2	`x`
98.6%	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))))))`
98.6%	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)))))`
98.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes24.0ms (0.3%)

Memory

-18.7MiB live, 56.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

5.0ms	(hypot.f64 #s(literal 1 binary64) x)
4.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms	x
3.0ms	(/.f64 #s(literal 1 binary64) (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
98.6%	2	`x`
98.6%	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))))))`
98.6%	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)))))`
98.6%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.6%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.6%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes19.0ms (0.2%)

Memory

-3.3MiB live, 47.4MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

2.0ms	x
2.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms	(hypot.f64 #s(literal 1 binary64) x)
2.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
2.0ms	(-.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
97.9%	2	`x`
97.9%	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))))))`
97.9%	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)))))`
97.9%	2	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
97.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
97.9%	2	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
97.9%	2	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes20.0ms (0.2%)

Memory

-7.0MiB live, 32.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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:

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

Results

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

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes9.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

7 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	(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 47 to 37 computations (21.3% saved)

regimes38.0ms (0.4%)

Memory

-21.6MiB live, 16.8MiB 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 (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))

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

Calls

7 calls:

31.0ms	(hypot.f64 #s(literal 1 binary64) x)
1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms	(-.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
31.6%	1	`x`
31.6%	1	`(hypot.f64 #s(literal 1 binary64) x)`
31.6%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
31.6%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
31.6%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
31.6%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
31.6%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0030662137663446

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0030662137663446

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0030662137663446

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0030662137663446

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0544471531269213	23.807954722457072

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04200276805200494	0.9483642656102201

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04200276805200494	0.9483642656102201

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04200276805200494	0.9483642656102201

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04200276805200494	0.9483642656102201

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0544471531269213	23.807954722457072

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0544471531269213	23.807954722457072

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0544471531269213	23.807954722457072

Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0544471531269213	23.807954722457072

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify61.0ms (0.6%)

Memory

12.5MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	1084
1	205	1072
2	344	1046
3	758	1044
4	1862	1042
5	6172	1042

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (.f64 x x))) #s(approx (- 1 (sqrt ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ ( 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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 (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))

Outputs
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- 1 (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1))) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))))
(if (<=.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1843/32768 binary64) (.f64 x x) #s(literal 69/1024 binary64)) x) x #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
(if (<=.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (.f64 x x) #s(literal -11/128 binary64)) (.f64 x x) #s(literal 1/8 binary64)) x) x)))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (/ 1/4 (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1))) (/ (pow (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1) 2) (+ 1/2 (+ (/ -1/2 (sqrt (+ (* 1 1) (* x x)))) 1)))) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -11/128 binary64)) x (.f64 #s(literal 1/8 binary64) x)) x)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ ( 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 (.f64 (fma.f64 #s(literal -11/128 binary64) (.f64 x x) #s(literal 1/8 binary64)) x) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx ( 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))))
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(approx (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* 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 (/ (- (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 1) (- (neg (sqrt (- 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))))) 1)) (.f64 #s(literal 1/8 binary64) (.f64 x x)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sqrt 1/2) (neg (* (- 1 (pow (sqrt (+ (* 1 1) (* x x))) -1)) (sqrt 1/2)))) 1)) #s(literal 1 binary64)))

soundness2.0s (20.4%)

Memory

0.0MiB live, 796.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	655	3473
1	2008	2969
2	6939	2940
0	8473	2786
0	206	845
1	592	771
2	1668	732
3	4539	691
0	8216	652
0	65	417
0	99	407
1	480	371
2	4412	359
0	9005	354
0	859	5698
1	2717	4643
0	8635	4385
0	67	312
0	103	299
1	471	209
2	4331	209
0	8702	208
0	9	43
0	18	43
1	78	37
2	562	37
3	5214	37
0	8825	37
0	45	259
0	74	259
1	341	225
2	2993	225
0	8601	223
0	635	2879
1	1957	2441
2	6808	2414
0	8261	2279

Stop Event

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

Compiler

Compiled 1 622 to 395 computations (75.6% saved)

preprocess273.0ms (2.8%)

Memory: -9.1MiB live, 149.3MiB allocated
Remove: (abs x)
Compiler: Compiled 2 540 to 382 computations (85% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	118	26
4	171	26
5	204	26
6	218	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	118	26
4	171	26
5	204	26
6	218	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%)

sample2.0s (20.4%)

explain171.0ms (1.8%)

preprocess16.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.3%)

localize56.0ms (0.6%)

series5.0ms (0.1%)

simplify177.0ms (1.8%)

rewrite173.0ms (1.8%)

eval124.0ms (1.3%)

prune31.0ms (0.3%)

simplify209.0ms (2.2%)

localize227.0ms (2.3%)

series20.0ms (0.2%)

simplify197.0ms (2%)

rewrite173.0ms (1.8%)

eval132.0ms (1.4%)

prune48.0ms (0.5%)

simplify135.0ms (1.4%)

localize292.0ms (3%)

series40.0ms (0.4%)

simplify217.0ms (2.2%)

rewrite201.0ms (2.1%)

eval202.0ms (2.1%)

prune37.0ms (0.4%)

simplify184.0ms (1.9%)

localize340.0ms (3.5%)

series31.0ms (0.3%)

simplify219.0ms (2.3%)

rewrite419.0ms (4.3%)

eval185.0ms (1.9%)

prune88.0ms (0.9%)

regimes104.0ms (1.1%)

regimes94.0ms (1%)

regimes326.0ms (3.4%)

regimes75.0ms (0.8%)

regimes85.0ms (0.9%)

regimes65.0ms (0.7%)

regimes52.0ms (0.5%)

regimes46.0ms (0.5%)

regimes46.0ms (0.5%)

regimes26.0ms (0.3%)

regimes24.0ms (0.3%)

regimes19.0ms (0.2%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes38.0ms (0.4%)

bsearch1.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify61.0ms (0.6%)

soundness2.0s (20.4%)

preprocess273.0ms (2.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	31
1	37	26
2	75	26
3	118	26
4	171	26
5	204	26
6	218	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