Metrics for sqrt(x+2)-sqrt(x-2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.1%	74.9%	0%	0%	0%	0
0%	0%	25.1%	74.9%	0%	0%	0%	1
0%	0%	12.5%	74.9%	0%	12.5%	0%	2
0%	0%	6.3%	74.9%	0%	18.8%	0%	3
0%	0%	3.1%	74.9%	0%	21.9%	0%	4
0%	0%	1.6%	74.9%	0%	23.5%	0%	5
0%	0%	0.8%	74.9%	0%	24.3%	0%	6
0%	0%	0.4%	74.9%	0%	24.7%	0%	7
0%	0%	0.2%	74.9%	0%	24.9%	0%	8
0%	0%	0.1%	74.9%	0%	25%	0%	9
50%	0%	0%	74.9%	0%	25%	0%	10
66.7%	0%	0%	74.9%	0%	25%	0%	11
80%	0%	0%	74.9%	0%	25%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.3s (36.4%)

Memory

13.9MiB live, 686.0MiB allocated

Samples

652.0ms	8 256×	0	valid
56.0ms	898×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-sqrt: 127.0ms (26.2% of total)

ival-sub: 120.0ms (24.8% of total)

ival-<=: 109.0ms (22.5% of total)

ival-add: 96.0ms (19.8% of total)

exact: 17.0ms (3.5% of total)

ival-and: 13.0ms (2.7% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain139.0ms (4%)

Memory

96.8MiB live, 143.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (-.f64 x #s(literal 2 binary64)))`
-	-	`#s(literal 2 binary64)`
-	-	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))`
-	-	`(+.f64 x #s(literal 2 binary64))`
-	-	`(-.f64 x #s(literal 2 binary64))`
-	-	`(sqrt.f64 (+.f64 x #s(literal 2 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sqrt: 7.0ms (44.4% of total)

ival-sub: 5.0ms (31.7% of total)

ival-add: 3.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

preprocess95.0ms (2.7%)

Memory

-13.6MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	21	21
2	49	18
3	90	18
4	144	18
5	210	18
6	236	18
7	246	18
0	7	9
0	12	9
1	18	9
2	24	9
3	30	9
4	38	9
5	53	9
6	86	9
7	115	9
8	163	9
9	179	9
10	187	9
0	187	9

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.2%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
cost-diff	0	(+.f64 x #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	25
1	18	25
2	24	25
3	30	25
4	38	25
5	53	25
6	86	25
7	115	25
8	163	25
9	179	25
10	187	25
0	187	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
(-.f64 x #s(literal 2 binary64))

Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
(-.f64 x #s(literal 2 binary64))

localize21.0ms (0.6%)

Memory

8.3MiB live, 8.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
accuracy	0.08984375	(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
accuracy	0.7726391235161247	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sqrt: 4.0ms (50.5% of total)

ival-sub: 2.0ms (25.3% of total)

ival-add: 2.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

4 → 38

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
(sqrt.f64 (-.f64 x #s(literal 2 binary64)))

Outputs
(- (sqrt 2) (sqrt -2))
(- (+ (sqrt 2) (* x (- (* 1/2 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* x (- (* 1/16 (/ 1 (pow (sqrt 2) 5))) (* 1/16 (/ 1 (pow (sqrt -2) 5)))))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))
2
(+ 2 x)
(sqrt -2)
(+ (sqrt -2) (* 1/2 (/ x (sqrt -2))))
(+ (sqrt -2) (* x (+ (* -1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))))
(+ (sqrt -2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))))
(/ (- (sqrt x) (* -1 (sqrt x))) x)
(/ (- (+ (sqrt x) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* -1 (sqrt x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 7/8 (sqrt (/ 1 (pow x 7)))))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 7/8 (sqrt (/ 1 (pow x 7)))) (* 33/16 (sqrt (/ 1 (pow x 11))))))) (+ (* -33/16 (sqrt (/ 1 (pow x 11)))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3)))))))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 7))))))))
(* -1 (/ (- (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) x))
(* -1 (/ (- (+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (sqrt (+ x 2)) (sqrt (- x 2))) (sqrt (+ x 2)) (+ x 2) (sqrt (- x 2)))
4.0ms	x	@	inf	((- (sqrt (+ x 2)) (sqrt (- x 2))) (sqrt (+ x 2)) (+ x 2) (sqrt (- x 2)))
1.0ms	x	@	0	((- (sqrt (+ x 2)) (sqrt (- x 2))) (sqrt (+ x 2)) (+ x 2) (sqrt (- x 2)))

Time

Variable

Point

Expression

4.0ms

-inf

((- (sqrt (+ x 2)) (sqrt (- x 2))) (sqrt (+ x 2)) (+ x 2) (sqrt (- x 2)))

4.0ms

inf

((- (sqrt (+ x 2)) (sqrt (- x 2))) (sqrt (+ x 2)) (+ x 2) (sqrt (- x 2)))

1.0ms

((- (sqrt (+ x 2)) (sqrt (- x 2))) (sqrt (+ x 2)) (+ x 2) (sqrt (- x 2)))

simplify206.0ms (5.9%)

Memory

58.1MiB live, 58.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	849
1	679	742
2	2306	674
0	8368	638

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

Inputs
(- (sqrt 2) (sqrt -2))
(- (+ (sqrt 2) (* x (- (* 1/2 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* x (- (* 1/16 (/ 1 (pow (sqrt 2) 5))) (* 1/16 (/ 1 (pow (sqrt -2) 5)))))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))
2
(+ 2 x)
(sqrt -2)
(+ (sqrt -2) (* 1/2 (/ x (sqrt -2))))
(+ (sqrt -2) (* x (+ (* -1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))))
(+ (sqrt -2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))))
(/ (- (sqrt x) (* -1 (sqrt x))) x)
(/ (- (+ (sqrt x) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* -1 (sqrt x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 7/8 (sqrt (/ 1 (pow x 7)))))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 7/8 (sqrt (/ 1 (pow x 7)))) (* 33/16 (sqrt (/ 1 (pow x 11))))))) (+ (* -33/16 (sqrt (/ 1 (pow x 11)))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3)))))))) x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 7))))))))
(* -1 (/ (- (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) x))
(* -1 (/ (- (+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))

Outputs
(- (sqrt 2) (sqrt -2))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(- (+ (sqrt 2) (* x (- (* 1/2 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -2 binary64))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64))))) x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* x (- (* 1/16 (/ 1 (pow (sqrt 2) 5))) (* 1/16 (/ 1 (pow (sqrt -2) 5)))))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64)))) x (-.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal -2 binary64))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 2 binary64))))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64))))) x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64)))
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) x (sqrt.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
(+ (sqrt -2) (* 1/2 (/ x (sqrt -2))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))
(+ (sqrt -2) (* x (+ (* -1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))))
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) x (sqrt.f64 #s(literal -2 binary64)))
(+ (sqrt -2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -2 binary64)))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) x (sqrt.f64 #s(literal -2 binary64)))
(/ (- (sqrt x) (* -1 (sqrt x))) x)
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)
(/ (- (+ (sqrt x) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* -1 (sqrt x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 x))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 7/8 (sqrt (/ 1 (pow x 7)))))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 7/8 binary64) (+.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -7/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (sqrt.f64 x))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 7/8 (sqrt (/ 1 (pow x 7)))) (* 33/16 (sqrt (/ 1 (pow x 11))))))) (+ (* -33/16 (sqrt (/ 1 (pow x 11)))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3)))))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 33/16 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 33/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 7/8 binary64) (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 x)) (*.f64 #s(literal -7/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))) (sqrt.f64 x))) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 7))))))))
(*.f64 (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(* -1 (/ (- (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) x))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 x) x))
(* -1 (/ (- (+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 x) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))) (neg.f64 x))
(* -1 (/ (- (+ (sqrt x) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(/.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (neg.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)

rewrite262.0ms (7.5%)

Memory

-138.4MiB live, 48.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	12	20
1	52	20
2	364	20
3	5605	20
0	8146	20

Stop Event

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

Counts

4 → 310

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
(sqrt.f64 (-.f64 x #s(literal 2 binary64)))

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

eval42.0ms (1.2%)

Memory: 33.2MiB live, 33.2MiB allocated
Compiler: Compiled 8 730 to 1 240 computations (85.8% saved)

prune51.0ms (1.4%)

Memory

-58.4MiB live, 27.4MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	313	31	344
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	313	32	345

Accuracy

100.0%

Counts

345 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.6%	(fma.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))
	98.5%	(fma.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.0%	(fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.2%	(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	99.1%	(fma.f64 (-.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	99.0%	(fma.f64 (-.f64 x #s(literal -2 binary64)) (/.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 2 binary64))) (-.f64 x #s(literal -2 binary64)))) (neg.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 2 binary64))) (-.f64 x #s(literal -2 binary64))))))
	98.5%	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	98.2%	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	98.5%	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
▶	98.4%	(fma.f64 (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	98.8%	(fma.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	99.0%	(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 x #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
	99.2%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
▶	99.3%	(/.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	98.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64)))))
	98.2%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))))
▶	99.0%	(-.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
	98.7%	(-.f64 (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
	98.5%	(-.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
	98.5%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
	98.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	98.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))))
	98.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
	98.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))))))
✓	98.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
▶	99.3%	(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.8%	(*.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 2 binary64))) (-.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 2 binary64))) (-.f64 x #s(literal -2 binary64)))))
	25.8%	#s(approx (- (sqrt (+ x 2)) (sqrt (- x 2))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
▶	0.0%	#s(approx (- (sqrt (+ x 2)) (sqrt (- x 2))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))

Compiler

Compiled 1 491 to 841 computations (43.6% saved)

simplify170.0ms (4.9%)

Memory

20.1MiB live, 20.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (sqrt.f64 (fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
cost-diff	1	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
cost-diff	16	(-.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	1	(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
cost-diff	2	(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
cost-diff	7	(fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 #s(literal -2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
cost-diff	0	#s(approx (- (sqrt (+ x 2)) (sqrt (- x 2))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	0	(-.f64 x #s(literal 2 binary64))
cost-diff	1	(/.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
cost-diff	6	(-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	336
0	75	329
1	137	316
2	268	316
3	742	289
4	1953	289
5	3182	289
6	4245	289
7	5360	289
8	5764	289
9	5872	289
10	5981	289
11	7419	289
12	7941	289
0	8028	286

Stop Event

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

Calls

Call 1

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

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

localize129.0ms (3.7%)

Memory

-18.0MiB live, 60.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(sqrt.f64 (fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))))
accuracy	0.0	(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
accuracy	0.0	(neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
accuracy	0.0	(-.f64 x #s(literal -2 binary64))
accuracy	0.0	(+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal -2 binary64)))
accuracy	0.0	(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal -2 binary64)))
accuracy	0.0	(neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
accuracy	0.0	(-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.0	(sqrt.f64 #s(literal -2 binary64))
accuracy	0.0	#s(approx (- (sqrt (+ x 2)) (sqrt (- x 2))) (-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
accuracy	0.0	(-.f64 x #s(literal -2 binary64))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal 2 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal -2 binary64)))
accuracy	0.0	(neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Samples

69.0ms

256×

invalid

Compiler

Compiled 346 to 46 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sqrt: 11.0ms (23.4% of total)

ival-sub: 9.0ms (19.1% of total)

ival-div: 8.0ms (17% of total)

ival-add: 7.0ms (14.9% of total)

ival-mult: 7.0ms (14.9% of total)

ival-pow: 3.0ms (6.4% of total)

ival-neg: 2.0ms (4.3% of total)

exact: 1.0ms (2.1% of total)

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

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

series45.0ms (1.3%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

23 → 175

Calls

Call 1

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

Outputs
-4
(/ 4 (+ (sqrt -2) (sqrt 2)))
(+ (* -4 (/ (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* 4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 4 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* 4 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* 4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
-2
(- x 2)
2
(+ 2 x)
(- (sqrt 2) (sqrt -2))
(- (+ (sqrt 2) (* x (- (* 1/2 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* x (- (* 1/16 (/ 1 (pow (sqrt 2) 5))) (* 1/16 (/ 1 (pow (sqrt -2) 5)))))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(+ (* x (+ (* -4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* x (+ (* 4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (+ (* -4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* x (+ (* 4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (+ (* 4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* x (+ (* -4 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (+ (* -4 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3))))) (+ (sqrt -2) (sqrt 2)))))))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(/ -1 (+ (sqrt -2) (sqrt 2)))
(- (/ (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 2)) (/ 1 (+ (sqrt -2) (sqrt 2))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow (sqrt -2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* -1 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (/ 1 (+ (sqrt -2) (sqrt 2))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (* (pow (sqrt -2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* 1/8 (/ 1 (* (pow (sqrt -2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* -1 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (/ 1 (+ (sqrt -2) (sqrt 2))))
(+ (* -4 (* x (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (+ (* -4 (* x (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))) (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (* -4 (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (+ (* -4 (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (* x (+ (* -4 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))) (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -2) 5) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 2) 5) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))))))) (* -4 (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))) (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(/ 2 (+ (sqrt -2) (sqrt 2)))
(+ (* x (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 2 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (+ (* -1 (* x (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))))) (/ 1 (+ (sqrt -2) (sqrt 2)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 2 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))))) (/ 1 (+ (sqrt -2) (sqrt 2)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 2 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (sqrt -2) (sqrt 2))
(+ (sqrt -2) (+ (sqrt 2) (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))))
(+ (sqrt -2) (+ (sqrt 2) (* x (+ (* -1 (* x (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))))))
(+ (sqrt -2) (+ (sqrt 2) (* x (+ (* 1/2 (/ 1 (sqrt -2))) (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* x (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5))))) (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))))))))
4
(+ 4 (* 2 x))
(+ 4 (* x (+ 2 x)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/16 (/ (pow x 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow x 2) (- (* 1/32 (/ x (sqrt 1/2))) (* 1/16 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow x 2) (- (* x (+ (* -1/512 (/ x (pow (sqrt 1/2) 3))) (* 1/32 (/ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (sqrt 1/2))))))
1/2
(+ 1/2 (* -1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/16 x) 1/8)))
(+ 1/2 (* (pow x 2) (- (* x (+ 1/16 (* -1/64 (pow x 2)))) 1/8)))
(* -1 (sqrt -2))
(- (* -1/2 (/ x (sqrt -2))) (sqrt -2))
(- (* x (- (* 1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))) (sqrt -2))
(- (* x (- (* x (+ (* -1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))) (sqrt -2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))
(sqrt -2)
(+ (sqrt -2) (* 1/2 (/ x (sqrt -2))))
(+ (sqrt -2) (* x (+ (* -1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))))
(+ (sqrt -2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))))
(* -1 (+ (sqrt -2) (sqrt 2)))
(- (* -1 (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))) (+ (sqrt -2) (sqrt 2)))
(- (* x (- (* x (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))) (+ (sqrt -2) (sqrt 2)))
(- (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))))) (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))) (+ (sqrt -2) (sqrt 2)))
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* 3/16 x))))
(+ 2 (* x (+ 1/2 (* x (+ 3/16 (* -3/64 x))))))
(* 2 (sqrt (/ 1 x)))
(/ (+ (* -1 (/ (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3)))) (pow x 2))) (* 2 (sqrt x))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (sqrt (pow x 5))) (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3)))))))) (pow x 4))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (sqrt (pow x 7))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (* -1 (sqrt (pow x 5))) (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))) (+ (* 1/2 (sqrt (pow x 7))) (* 1/2 (* (pow x 2) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))) (pow x 6))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 (pow x 7))) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))) x)
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(/ (- (sqrt x) (* -1 (sqrt x))) x)
(/ (- (+ (sqrt x) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* -1 (sqrt x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 7/8 (sqrt (/ 1 (pow x 7)))))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 7/8 (sqrt (/ 1 (pow x 7)))) (* 33/16 (sqrt (/ 1 (pow x 11))))))) (+ (* -33/16 (sqrt (/ 1 (pow x 11)))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3)))))))) x)
(/ (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 2 (sqrt x))) x)
(/ (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 2 (sqrt x))))) x)
(/ (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (+ (* -1 (/ (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))) (pow x 5))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 11))) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 5)) (* 1/2 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))))))) (+ (* -1/2 (/ (+ (sqrt x) (* -1 (sqrt x))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 2 (sqrt x)))))))) x)
(* -1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x))) x)
(/ (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 1/4 (sqrt (pow x 5)))) (pow x 4))) (* -1/2 (sqrt x))) (* -1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (* 1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 1/4 (sqrt (pow x 5))))))) (+ (* -1/4 (* x (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))))) (* -1/8 (* (pow x 3) (+ (sqrt x) (* -1 (sqrt x))))))) (pow x 6))) (* -1/2 (sqrt x))) (+ (* -1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 1/4 (sqrt (/ 1 (pow x 3))))))) x)
(/ (+ (* -4 (/ (+ (* -1/4 (sqrt (pow x 5))) (* -1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2)))) (pow x 4))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 2 (sqrt x)))) x)
(/ (+ (* -4 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (* -1/4 (sqrt (pow x 5))) (* -1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))))))) (+ (* 1/8 (* (pow x 3) (+ (sqrt x) (* -1 (sqrt x))))) (* 1/4 (* x (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))))))) (pow x 6))) (+ (* -4 (/ (+ (* -1/4 (sqrt (pow x 5))) (* -1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2)))) (pow x 4))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 2 (sqrt x))))) x)
(* 1/2 (sqrt x))
(+ (sqrt (/ 1 x)) (* 1/2 (sqrt x)))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 1/2 (sqrt x))))
(- (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ (+ (sqrt x) (* -1 (sqrt x))) (pow x 2))) (* 1/2 (sqrt x)))) (* 1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x)))
(* 2 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* 2 (sqrt (/ 1 x)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -2 (sqrt (/ 1 (pow x 5)))))
(+ (sqrt (/ 1 x)) (+ (* -2 (sqrt (/ 1 (pow x 5)))) (* 4 (sqrt (/ 1 (pow x 7))))))
(+ (sqrt (/ 1 x)) (+ (* -2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 11))) (+ 32 (* 4 x)))) (* 4 (sqrt (/ 1 (pow x 7)))))))
(/ 1 x)
(/ (- 1 (* 4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 8 (pow x 3))) (* 4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 8 (pow x 3))) (+ (* 4 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 5))))) x)
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (* 1/2 (sqrt (/ 1 (pow x 5)))) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* x (- (* 1/2 (sqrt (/ 1 (pow x 7)))) (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5))))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 7))))))))
(* -2 (sqrt x))
(* x (- (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) (pow x 2))) (* 2 (sqrt (/ 1 x)))))
(* x (- (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (- (* -1 (/ (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))) (pow x 6))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2)))))
(* x (- (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2)))) (* 3/2 (/ 1 (pow x 3)))))
(* -2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (pow x 2))) (* 2 (sqrt x))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (sqrt (pow x 5))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* -1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))))) (pow x 4))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (pow x 5))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* -1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))))))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (+ (* 1/2 (sqrt (pow x 7))) (* 1/2 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))))) (pow x 6))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))))) x))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (/ (- (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) x))
(* -1 (/ (- (+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (sqrt (/ 1 x)) (+ (* 2 (sqrt x)) (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (+ (* 2 (sqrt x)) (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 11))) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 9))) (/ (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (+ (* 2 (sqrt x)) (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))))))))) x))
(* 1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (* 1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (pow x 4))) (* -1/2 (sqrt x))) (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (* 1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))))))) (+ (* 1/8 (* (sqrt (pow x 3)) (/ (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (* 1/4 (/ (* x (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))))) (pow x 6))) (* -1/2 (sqrt x))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (+ (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (* 1/4 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2))))))) x))
(* -1 (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(- (* -1 (/ (- (sqrt x) (* -1 (sqrt x))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(- (* -1 (/ (- (+ (sqrt x) (* 1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) (+ (* -1 (sqrt x)) (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(- (* -1 (/ (- (+ (sqrt x) (+ (* -2 (/ (+ (* -1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))))) (pow x 4))) (* 1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))))) (+ (* -1 (sqrt x)) (+ (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(* -1/2 (sqrt x))
(+ (* -1 (sqrt (/ 1 x))) (* -1/2 (sqrt x)))
(+ (* -1 (/ (+ (sqrt x) (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x)) (* -1/2 (sqrt x)))
(+ (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) x))) x)) (* -1/2 (sqrt x)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))))
(* -1 (/ (- (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))) x))
(* -1 (/ (- (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -33/16 (* (sqrt (/ 1 (pow x 11))) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 33/16 (* (sqrt (/ 1 (pow x 11))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -4 (* (sqrt x) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- 32 (* -4 x)))))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (/ (- (* 4 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 8 (pow x 3)))) x))
(* -1 (/ (- (+ (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3))) (* 4 (/ 1 (pow x 2)))) 1) x))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow x 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (pow x 4))) (+ (sqrt (/ 1 (pow x 3))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))) (pow x 6))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/2 (* 3/2 (/ 1 x))) x)) 1) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((- (- x 2) (- x -2)) (/ (- (- x 2) (- x -2)) (- (neg (sqrt (- x 2))) (sqrt (- x -2)))) (- x 2) (- x -2) (- (sqrt (+ x 2)) (sqrt (- x 2))) (- (sqrt 2) (sqrt -2)) (sqrt 2) (sqrt -2) (+ (* -1 (- x -2)) (- x 2)) (* (+ (* -1 (- x -2)) (- x 2)) (/ 1 (neg (+ (sqrt (- x 2)) (sqrt (- x -2)))))) (/ 1 (neg (+ (sqrt (- x 2)) (sqrt (- x -2))))) (- (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (/ (- x 2) (+ (sqrt (- x 2)) (sqrt (- x -2))))) (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (+ (sqrt (- x 2)) (sqrt (- x -2))) (+ (* x x) (+ (* 2 x) 4)) (+ (* (sqrt (/ (+ (* x x) -4) (- (pow x 3) 8))) (sqrt (+ (* x x) (+ (* 2 x) 4)))) (neg (sqrt (- x 2)))) (sqrt (/ (+ (* x x) -4) (- (pow x 3) 8))) (/ (+ (* x x) -4) (- (pow x 3) 8)) (neg (sqrt (- x 2))) (sqrt (- x -2)) (sqrt (- x 2)) (neg (+ (sqrt (- x 2)) (sqrt (- x -2)))) (sqrt (+ (* x x) (+ (* 2 x) 4))))
13.0ms	x	@	inf	((- (- x 2) (- x -2)) (/ (- (- x 2) (- x -2)) (- (neg (sqrt (- x 2))) (sqrt (- x -2)))) (- x 2) (- x -2) (- (sqrt (+ x 2)) (sqrt (- x 2))) (- (sqrt 2) (sqrt -2)) (sqrt 2) (sqrt -2) (+ (* -1 (- x -2)) (- x 2)) (* (+ (* -1 (- x -2)) (- x 2)) (/ 1 (neg (+ (sqrt (- x 2)) (sqrt (- x -2)))))) (/ 1 (neg (+ (sqrt (- x 2)) (sqrt (- x -2))))) (- (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (/ (- x 2) (+ (sqrt (- x 2)) (sqrt (- x -2))))) (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (+ (sqrt (- x 2)) (sqrt (- x -2))) (+ (* x x) (+ (* 2 x) 4)) (+ (* (sqrt (/ (+ (* x x) -4) (- (pow x 3) 8))) (sqrt (+ (* x x) (+ (* 2 x) 4)))) (neg (sqrt (- x 2)))) (sqrt (/ (+ (* x x) -4) (- (pow x 3) 8))) (/ (+ (* x x) -4) (- (pow x 3) 8)) (neg (sqrt (- x 2))) (sqrt (- x -2)) (sqrt (- x 2)) (neg (+ (sqrt (- x 2)) (sqrt (- x -2)))) (sqrt (+ (* x x) (+ (* 2 x) 4))))
11.0ms	x	@	0	((- (- x 2) (- x -2)) (/ (- (- x 2) (- x -2)) (- (neg (sqrt (- x 2))) (sqrt (- x -2)))) (- x 2) (- x -2) (- (sqrt (+ x 2)) (sqrt (- x 2))) (- (sqrt 2) (sqrt -2)) (sqrt 2) (sqrt -2) (+ (* -1 (- x -2)) (- x 2)) (* (+ (* -1 (- x -2)) (- x 2)) (/ 1 (neg (+ (sqrt (- x 2)) (sqrt (- x -2)))))) (/ 1 (neg (+ (sqrt (- x 2)) (sqrt (- x -2))))) (- (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (/ (- x 2) (+ (sqrt (- x 2)) (sqrt (- x -2))))) (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (+ (sqrt (- x 2)) (sqrt (- x -2))) (+ (* x x) (+ (* 2 x) 4)) (+ (* (sqrt (/ (+ (* x x) -4) (- (pow x 3) 8))) (sqrt (+ (* x x) (+ (* 2 x) 4)))) (neg (sqrt (- x 2)))) (sqrt (/ (+ (* x x) -4) (- (pow x 3) 8))) (/ (+ (* x x) -4) (- (pow x 3) 8)) (neg (sqrt (- x 2))) (sqrt (- x -2)) (sqrt (- x 2)) (neg (+ (sqrt (- x 2)) (sqrt (- x -2)))) (sqrt (+ (* x x) (+ (* 2 x) 4))))

Time

Variable

Point

Expression

18.0ms

-inf

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

13.0ms

inf

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

11.0ms

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

simplify185.0ms (5.3%)

Memory

-19.1MiB live, 53.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1011	6555
1	3385	5019
0	8933	4834

Stop Event

1×	iter limit
1×	node limit

Counts

175 → 174

Calls

Call 1

Inputs
-4
(/ 4 (+ (sqrt -2) (sqrt 2)))
(+ (* -4 (/ (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* 4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 4 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* 4 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* 4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
-2
(- x 2)
2
(+ 2 x)
(- (sqrt 2) (sqrt -2))
(- (+ (sqrt 2) (* x (- (* 1/2 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* x (- (* 1/16 (/ 1 (pow (sqrt 2) 5))) (* 1/16 (/ 1 (pow (sqrt -2) 5)))))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
(+ (* x (+ (* -4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* x (+ (* 4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (+ (* -4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* x (+ (* 4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (+ (* 4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* x (+ (* -4 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (+ (* -4 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3))))) (+ (sqrt -2) (sqrt 2)))))))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(/ -1 (+ (sqrt -2) (sqrt 2)))
(- (/ (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 2)) (/ 1 (+ (sqrt -2) (sqrt 2))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow (sqrt -2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* -1 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (/ 1 (+ (sqrt -2) (sqrt 2))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (* (pow (sqrt -2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* -1 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* 1/8 (/ 1 (* (pow (sqrt -2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* -1 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (/ 1 (+ (sqrt -2) (sqrt 2))))
(+ (* -4 (* x (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (+ (* -4 (* x (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))) (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (* -4 (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (+ (* -4 (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (* x (+ (* -4 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))) (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -2) 5) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 2) 5) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))))))) (* -4 (+ (* -1 (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (+ (* 1/2 (/ 1 (* (sqrt -2) (pow (+ (sqrt -2) (sqrt 2)) 2)))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt -2) (sqrt 2)) 2)))))) (+ (sqrt -2) (sqrt 2)))) (* -1 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(/ 2 (+ (sqrt -2) (sqrt 2)))
(+ (* x (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 2 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (+ (* -1 (* x (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))))) (/ 1 (+ (sqrt -2) (sqrt 2)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 2 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (* x (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* -1 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))) (* 2 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* -2 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (/ (* (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (- (/ 1 (+ (sqrt -2) (sqrt 2))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (+ (sqrt -2) (sqrt 2)))))) (/ 1 (+ (sqrt -2) (sqrt 2)))) (* 2 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 2 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(+ (sqrt -2) (sqrt 2))
(+ (sqrt -2) (+ (sqrt 2) (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))))
(+ (sqrt -2) (+ (sqrt 2) (* x (+ (* -1 (* x (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))))))
(+ (sqrt -2) (+ (sqrt 2) (* x (+ (* 1/2 (/ 1 (sqrt -2))) (+ (* 1/2 (/ 1 (sqrt 2))) (* x (- (* x (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5))))) (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))))))))
4
(+ 4 (* 2 x))
(+ 4 (* x (+ 2 x)))
(sqrt 1/2)
(+ (sqrt 1/2) (* -1/16 (/ (pow x 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* (pow x 2) (- (* 1/32 (/ x (sqrt 1/2))) (* 1/16 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow x 2) (- (* x (+ (* -1/512 (/ x (pow (sqrt 1/2) 3))) (* 1/32 (/ 1 (sqrt 1/2))))) (* 1/16 (/ 1 (sqrt 1/2))))))
1/2
(+ 1/2 (* -1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/16 x) 1/8)))
(+ 1/2 (* (pow x 2) (- (* x (+ 1/16 (* -1/64 (pow x 2)))) 1/8)))
(* -1 (sqrt -2))
(- (* -1/2 (/ x (sqrt -2))) (sqrt -2))
(- (* x (- (* 1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))) (sqrt -2))
(- (* x (- (* x (+ (* -1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))) (sqrt -2))
(sqrt 2)
(+ (sqrt 2) (* 1/2 (/ x (sqrt 2))))
(+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (sqrt 2))))))
(sqrt -2)
(+ (sqrt -2) (* 1/2 (/ x (sqrt -2))))
(+ (sqrt -2) (* x (+ (* -1/8 (/ x (pow (sqrt -2) 3))) (* 1/2 (/ 1 (sqrt -2))))))
(+ (sqrt -2) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -2) 5))) (* 1/8 (/ 1 (pow (sqrt -2) 3))))) (* 1/2 (/ 1 (sqrt -2))))))
(* -1 (+ (sqrt -2) (sqrt 2)))
(- (* -1 (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))) (+ (sqrt -2) (sqrt 2)))
(- (* x (- (* x (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))) (+ (sqrt -2) (sqrt 2)))
(- (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))))) (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))))) (+ (sqrt -2) (sqrt 2)))
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* 3/16 x))))
(+ 2 (* x (+ 1/2 (* x (+ 3/16 (* -3/64 x))))))
(* 2 (sqrt (/ 1 x)))
(/ (+ (* -1 (/ (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3)))) (pow x 2))) (* 2 (sqrt x))) x)
(/ (- (+ (* -1 (/ (+ (* -1 (sqrt (pow x 5))) (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3)))))))) (pow x 4))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (sqrt (pow x 7))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (* -1 (sqrt (pow x 5))) (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))) (+ (* 1/2 (sqrt (pow x 7))) (* 1/2 (* (pow x 2) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))) (pow x 6))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 (pow x 7))) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 3)) (* -1 (sqrt (pow x 3))))))))))) x)
x
(* x (- 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(/ (- (sqrt x) (* -1 (sqrt x))) x)
(/ (- (+ (sqrt x) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* -1 (sqrt x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 7/8 (sqrt (/ 1 (pow x 7)))))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3))))))) x)
(/ (- (+ (sqrt x) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 7/8 (sqrt (/ 1 (pow x 7)))) (* 33/16 (sqrt (/ 1 (pow x 11))))))) (+ (* -33/16 (sqrt (/ 1 (pow x 11)))) (+ (* -1 (sqrt x)) (+ (* -7/8 (sqrt (/ 1 (pow x 7)))) (* -1/2 (sqrt (/ 1 (pow x 3)))))))) x)
(/ (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 2 (sqrt x))) x)
(/ (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 2 (sqrt x))))) x)
(/ (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (+ (* -1 (/ (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))) (pow x 5))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 11))) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (sqrt (pow x 5)) (* 1/2 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))))))) (+ (* -1/2 (/ (+ (sqrt x) (* -1 (sqrt x))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 2 (sqrt x)))))))) x)
(* -1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x))) x)
(/ (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 1/4 (sqrt (pow x 5)))) (pow x 4))) (* -1/2 (sqrt x))) (* -1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (* 1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 1/4 (sqrt (pow x 5))))))) (+ (* -1/4 (* x (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))))) (* -1/8 (* (pow x 3) (+ (sqrt x) (* -1 (sqrt x))))))) (pow x 6))) (* -1/2 (sqrt x))) (+ (* -1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))) (* 1/4 (sqrt (/ 1 (pow x 3))))))) x)
(/ (+ (* -4 (/ (+ (* -1/4 (sqrt (pow x 5))) (* -1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2)))) (pow x 4))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 2 (sqrt x)))) x)
(/ (+ (* -4 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* -1 (sqrt x))) (+ (* -1/4 (sqrt (pow x 5))) (* -1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2))))))) (+ (* 1/8 (* (pow x 3) (+ (sqrt x) (* -1 (sqrt x))))) (* 1/4 (* x (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))))))) (pow x 6))) (+ (* -4 (/ (+ (* -1/4 (sqrt (pow x 5))) (* -1/8 (* (sqrt (pow x 3)) (pow (+ (sqrt x) (* -1 (sqrt x))) 2)))) (pow x 4))) (+ (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 2 (sqrt x))))) x)
(* 1/2 (sqrt x))
(+ (sqrt (/ 1 x)) (* 1/2 (sqrt x)))
(+ (sqrt (/ 1 x)) (+ (* -1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x)) (* 1/2 (sqrt x))))
(- (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ (+ (sqrt x) (* -1 (sqrt x))) (pow x 2))) (* 1/2 (sqrt x)))) (* 1/4 (/ (+ (sqrt x) (* -1 (sqrt x))) x)))
(* 2 (sqrt x))
(* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 7)))) (* 2 (sqrt (/ 1 x)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 4 (pow x 2)))))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -2 (sqrt (/ 1 (pow x 5)))))
(+ (sqrt (/ 1 x)) (+ (* -2 (sqrt (/ 1 (pow x 5)))) (* 4 (sqrt (/ 1 (pow x 7))))))
(+ (sqrt (/ 1 x)) (+ (* -2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 11))) (+ 32 (* 4 x)))) (* 4 (sqrt (/ 1 (pow x 7)))))))
(/ 1 x)
(/ (- 1 (* 4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 8 (pow x 3))) (* 4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 8 (pow x 3))) (+ (* 4 (/ 1 (pow x 2))) (* 32 (/ 1 (pow x 5))))) x)
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (* 1/2 (sqrt (/ 1 (pow x 5)))) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3)))))))
(* x (- (* 1/2 (sqrt (/ 1 (pow x 7)))) (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5))))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))))
(* x (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* -1/2 (sqrt (/ 1 (pow x 7))))))))
(* -2 (sqrt x))
(* x (- (* -1 (/ (+ (sqrt x) (* -1 (sqrt x))) (pow x 2))) (* 2 (sqrt (/ 1 x)))))
(* x (- (sqrt (/ 1 (pow x 5))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* x (- (* -1 (/ (+ (* -1/2 (sqrt (pow x 5))) (* 1/2 (sqrt (pow x 5)))) (pow x 6))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x))))))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2)))))
(* x (- (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2)))) (* 3/2 (/ 1 (pow x 3)))))
(* -2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (pow x 2))) (* 2 (sqrt x))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (sqrt (pow x 5))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* -1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))))) (pow x 4))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/2 (sqrt (pow x 5))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* -1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))))))) (+ (* -1/2 (* (sqrt x) (* (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (+ (* 1/2 (sqrt (pow x 7))) (* 1/2 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))))) (pow x 6))) (* 2 (sqrt x))) (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (sqrt (pow x 3)) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))))) x))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (/ (- (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) x))
(* -1 (/ (- (+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (sqrt x) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))) (+ (* -5/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (sqrt (/ 1 x)) (+ (* 2 (sqrt x)) (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (+ (* 2 (sqrt x)) (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 11))) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 9))) (/ (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (+ (* 2 (sqrt x)) (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))))))))) x))
(* 1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (* 1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (pow x 4))) (* -1/2 (sqrt x))) (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (* 1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))))))) (+ (* 1/8 (* (sqrt (pow x 3)) (/ (* (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) (* 1/4 (/ (* x (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))))) (pow x 6))) (* -1/2 (sqrt x))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))) (+ (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (* 1/4 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2))))))) x))
(* -1 (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(- (* -1 (/ (- (sqrt x) (* -1 (sqrt x))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(- (* -1 (/ (- (+ (sqrt x) (* 1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) (+ (* -1 (sqrt x)) (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(- (* -1 (/ (- (+ (sqrt x) (+ (* -2 (/ (+ (* -1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))))) (pow x 4))) (* 1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))))) (+ (* -1 (sqrt x)) (+ (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(* -1/2 (sqrt x))
(+ (* -1 (sqrt (/ 1 x))) (* -1/2 (sqrt x)))
(+ (* -1 (/ (+ (sqrt x) (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x)) (* -1/2 (sqrt x)))
(+ (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) x))) x)) (* -1/2 (sqrt x)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))))
(* -1 (/ (- (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))) x))
(* -1 (/ (- (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(* -1 (/ (- (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -33/16 (* (sqrt (/ 1 (pow x 11))) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 33/16 (* (sqrt (/ 1 (pow x 11))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -4 (* (sqrt x) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- 32 (* -4 x)))))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (/ (- (* 4 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 8 (pow x 3)))) x))
(* -1 (/ (- (+ (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3))) (* 4 (/ 1 (pow x 2)))) 1) x))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow x 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (pow x 4))) (+ (sqrt (/ 1 (pow x 3))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))) (pow x 6))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/2 (* 3/2 (/ 1 x))) x)) 1) x)))))

Outputs
-4
#s(literal -4 binary64)
(/ 4 (+ (sqrt -2) (sqrt 2)))
(/.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -4 (/ (* x (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) x) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* 4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(fma.f64 (fma.f64 (neg.f64 x) (.f64 #s(literal -4 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -4 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64))))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64)))) x (/.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (+ (sqrt -2) (sqrt 2)))) (+ (* 4 (/ (* (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2))))) (pow (+ (sqrt -2) (sqrt 2)) 3))) (* 4 (/ (+ (* 1/16 (/ 1 (pow (sqrt -2) 5))) (* 1/16 (/ 1 (pow (sqrt 2) 5)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))))) (+ (* -4 (/ (+ (* 1/8 (/ 1 (pow (sqrt -2) 3))) (* 1/8 (/ 1 (pow (sqrt 2) 3)))) (pow (+ (sqrt -2) (sqrt 2)) 2))) (* -4 (/ (pow (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) 2) (pow (+ (sqrt -2) (sqrt 2)) 3)))))) (* 4 (/ (+ (* 1/2 (/ 1 (sqrt -2))) (* 1/2 (/ 1 (sqrt 2)))) (pow (+ (sqrt -2) (sqrt 2)) 2))))) (* 4 (/ 1 (+ (sqrt -2) (sqrt 2)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 4 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64))))) (.f64 (.f64 #s(literal -4 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))))) (.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64)))))) x (/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -2 binary64))))) (pow.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 2 binary64)))) x (/.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))))
-2
#s(literal -2 binary64)
(- x 2)
(-.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(- (sqrt 2) (sqrt -2))
(-.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(- (+ (sqrt 2) (* x (- (* 1/2 (/ 1 (sqrt 2))) (* 1/2 (/ 1 (sqrt -2)))))) (sqrt -2))
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(fma.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)) x) #s(literal -1 binary64) #s(literal 0 binary64))
(- (* -1 (/ (- (+ (sqrt x) (* 1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2))))) (+ (* -1 (sqrt x)) (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 0 binary64) x) (sqrt.f64 x))) x) #s(literal -1 binary64) #s(literal 0 binary64))
(- (* -1 (/ (- (+ (sqrt x) (+ (* -2 (/ (+ (* -1/4 (/ (* x (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (pow x 3)) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2))))) (pow x 4))) (* 1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))))) (+ (* -1 (sqrt x)) (+ (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) 2) (pow (sqrt -1) 2)))))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))
(fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 x (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -2 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 0 binary64) x)) (sqrt.f64 x)) (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (sqrt.f64 x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 0 binary64))))) x) #s(literal -1 binary64) #s(literal 0 binary64))
(* -1/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))
(+ (* -1 (sqrt (/ 1 x))) (* -1/2 (sqrt x)))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (/ (+ (sqrt x) (* 1/4 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x)) (* -1/2 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal 0 binary64)) x))
(+ (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1/2 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/4 (/ (* x (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) x))) x)) (* -1/2 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (/.f64 (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 (neg.f64 (.f64 (.f64 #s(literal 0 binary64) x) #s(literal 1/4 binary64))) x))) x))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
(.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))))
(.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (/ (- (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64))) x)
(* -1 (/ (- (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))) x))
(/.f64 (neg.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(* -1 (/ (- (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2))))) x))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -7/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 x)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 7/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 x))))) x)
(* -1 (/ (- (+ (* -33/16 (* (sqrt (/ 1 (pow x 11))) (pow (sqrt -1) 2))) (+ (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* -7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 7/8 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 33/16 (* (sqrt (/ 1 (pow x 11))) (pow (sqrt -1) 2))) (* (sqrt x) (pow (sqrt -1) 2)))))) x))
(/.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal -1 binary64)) #s(literal -33/16 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -7/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 33/16 binary64) (*.f64 #s(literal 7/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (neg.f64 (sqrt.f64 x)))))) x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(+ (* -1 (/ (+ (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -4 (* (sqrt x) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (pow (sqrt -1) 2) (- 32 (* -4 x)))))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 #s(literal 4 binary64) x #s(literal 32 binary64))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -4 binary64))) x)) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* 4 (/ 1 (pow x 2))) 1) x))
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* -1 (/ (- (* 4 (/ 1 (pow x 2))) (+ 1 (/ 8 (pow x 3)))) x))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(* -1 (/ (- (+ (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3))) (* 4 (/ 1 (pow x 2)))) 1) x))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 #s(literal 32 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) x)
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (neg.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (- (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (-.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1/2 binary64)) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (- (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ (sqrt x) (* (sqrt x) (pow (sqrt -1) 2))) (pow x 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))))
(* -1 (* x (- (* -1 (/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (pow x 4))) (+ (sqrt (/ 1 (pow x 3))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))) (pow x 6))) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))))
(.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(* -1 (* x (+ 1 (+ (/ 1 x) (/ 3/2 (pow x 2))))))
(neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 3/2 binary64) (*.f64 x x)) x #s(literal 1 binary64)) x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 3/2 (* 3/2 (/ 1 x))) x)) 1) x)))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 3/2 binary64) x)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))

rewrite41.0ms (1.2%)

Memory

10.1MiB live, 10.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	229
0	75	214
0	365	214

Stop Event

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

Counts

23 → 117

Calls

Call 1

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

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

eval91.0ms (2.6%)

Memory: -35.8MiB live, 50.9MiB allocated
Compiler: Compiled 20 262 to 1 951 computations (90.4% saved)

prune33.0ms (0.9%)

Memory

34.2MiB live, 34.2MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	499	13	512
Fresh	10	16	26
Picked	3	2	5
Done	0	1	1
Total	512	32	544

Accuracy

100.0%

Counts

544 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.6%	(fma.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))
	98.5%	(fma.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 x x (fma.f64 #s(literal 2 binary64) x #s(literal 4 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	99.1%	(fma.f64 (-.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))))
	98.2%	(fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	98.8%	(fma.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.2%	(fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))))
	99.2%	(/.f64 (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))) (.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -2 binary64)))) (+.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64)))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	99.0%	(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	99.2%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	99.1%	(/.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal 2 binary64))))))
	99.3%	(/.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 #s(approx (- x -2) (fma.f64 (/.f64 #s(literal 2 binary64) x) x x)))))
	99.2%	(/.f64 (-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64))) (-.f64 (neg.f64 (sqrt.f64 #s(approx (- x 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	98.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))) (sqrt.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64)))))
	99.5%	(/.f64 #s(approx (- (- x 2) (- x -2)) #s(literal -4 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))) (-.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal -2 binary64)))))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))))
	98.8%	(-.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (/.f64 (-.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
✓	99.0%	(-.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
	98.8%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (-.f64 x #s(literal -2 binary64)))) (/.f64 (-.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
	98.5%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
	98.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
	98.2%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))))))
	98.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))
	98.4%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))))))
✓	98.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
	98.9%	(.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))))))))
✓	99.3%	(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))))
	98.8%	(*.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 2 binary64))) (-.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (+.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64))) (-.f64 x #s(literal 2 binary64))) (-.f64 x #s(literal -2 binary64)))))
	25.8%	#s(approx (/ (- (- x 2) (- x -2)) (- (neg (sqrt (- x 2))) (sqrt (- x -2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
	3.1%	#s(approx (- (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (/ (- x 2) (+ (sqrt (- x 2)) (sqrt (- x -2))))) #s(literal 0 binary64))
	25.8%	#s(approx (- (sqrt (+ x 2)) (sqrt (- x 2))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))

Compiler

Compiled 1 912 to 647 computations (66.2% saved)

regimes19.0ms (0.5%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

45 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (- x 2) (- x -2)) #s(literal -4 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))

Calls

2 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
8.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))

Calls

2 calls:

3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
25.8%	1	`x`
25.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Accuracy

Total -2.0b remaining (-3.2%)

Threshold costs -2b (-3.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

1.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
3.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))`
3.1%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify85.0ms (2.4%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	74
1	65	74
2	128	74
3	312	70
4	874	58
5	2118	56
6	4092	56
7	5865	56
8	6460	56
9	6780	56
10	6976	56

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 #s(approx (- (- x 2) (- x -2)) #s(literal -4 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (- x 2) (- x -2)) #s(literal -4 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal -2 binary64)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (+ x 2)) (sqrt (- x 2))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
#s(approx (- (/ (- x -2) (+ (sqrt (- x 2)) (sqrt (- x -2)))) (/ (- x 2) (+ (sqrt (- x 2)) (sqrt (- x -2))))) #s(literal 0 binary64))

soundness553.0ms (15.8%)

Memory

-69.1MiB live, 9.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	849
1	679	742
2	2306	674
0	8368	638
0	1011	6555
1	3385	5019
0	8933	4834
0	7	20
0	12	20
1	52	20
2	364	20
3	5605	20
0	8146	20

Stop Event

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

Compiler

Compiled 111 to 67 computations (39.6% saved)

preprocess23.0ms (0.7%)

Memory: 17.1MiB live, 17.1MiB allocated
Compiler: Compiled 166 to 84 computations (49.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	23
1	21	21
2	49	18
3	90	18
4	144	18
5	210	18
6	236	18
7	246	18
0	7	9
0	12	9
1	18	9
2	24	9
3	30	9
4	38	9
5	53	9
6	86	9
7	115	9
8	163	9
9	179	9
10	187	9
0	187	9

Iter	Nodes	Cost
0	7	25
0	12	25
1	18	25
2	24	25
3	30	25
4	38	25
5	53	25
6	86	25
7	115	25
8	163	25
9	179	25
10	187	25
0	187	25

Iter	Nodes	Cost
0	9	23
1	21	21
2	49	18
3	90	18
4	144	18
5	210	18
6	236	18
7	246	18
0	7	9
0	12	9
1	18	9
2	24	9
3	30	9
4	38	9
5	53	9
6	86	9
7	115	9
8	163	9
9	179	9
10	187	9
0	187	9

Iter	Nodes	Cost
0	7	25
0	12	25
1	18	25
2	24	25
3	30	25
4	38	25
5	53	25
6	86	25
7	115	25
8	163	25
9	179	25
10	187	25
0	187	25

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.3s (36.4%)

explain139.0ms (4%)

preprocess95.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.2%)

localize21.0ms (0.6%)

series9.0ms (0.3%)

simplify206.0ms (5.9%)

rewrite262.0ms (7.5%)

eval42.0ms (1.2%)

prune51.0ms (1.4%)

simplify170.0ms (4.9%)

localize129.0ms (3.7%)

series45.0ms (1.3%)

simplify185.0ms (5.3%)

rewrite41.0ms (1.2%)

eval91.0ms (2.6%)

prune33.0ms (0.9%)

regimes19.0ms (0.5%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify85.0ms (2.4%)

soundness553.0ms (15.8%)

preprocess23.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	23
1	21	21
2	49	18
3	90	18
4	144	18
5	210	18
6	236	18
7	246	18
0	7	9
0	12	9
1	18	9
2	24	9
3	30	9
4	38	9
5	53	9
6	86	9
7	115	9
8	163	9
9	179	9
10	187	9
0	187	9

Iter	Nodes	Cost
0	7	25
0	12	25
1	18	25
2	24	25
3	30	25
4	38	25
5	53	25
6	86	25
7	115	25
8	163	25
9	179	25
10	187	25
0	187	25