Metrics for sqrt(x + 2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample903.0ms (23.3%)

Memory

96.1MiB live, 446.4MiB allocated

Samples

538.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-sqrt: 111.0ms (31.5% of total)

ival-add: 70.0ms (19.9% of total)

ival-mult: 53.0ms (15% of total)

ival-<=: 46.0ms (13.1% of total)

ival-sub: 39.0ms (11.1% of total)

exact: 18.0ms (5.1% of total)

ival-and: 12.0ms (3.4% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain210.0ms (5.4%)

Memory

-41.2MiB live, 106.1MiB allocated

FPErrors

Click to see full error table

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

118.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 90.0ms (86.9% of total)

ival-sqrt: 7.0ms (6.8% of total)

ival-add: 3.0ms (2.9% of total)

ival-sub: 2.0ms (1.9% of total)

ival-true: 1.0ms (1% of total)

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.6%)

Memory

24.1MiB live, 24.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	21	19
2	53	18
3	92	18
4	144	18
5	205	18
6	234	18
7	247	18
0	7	9
0	12	9
1	16	9
2	21	9
3	27	9
4	35	9
5	50	9
6	83	9
7	112	9
8	160	9
9	176	9
10	184	9
0	184	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 #s(literal 2 binary64) x)))

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	25
0	12	25
1	16	25
2	21	25
3	27	25
4	35	25
5	50	25
6	83	25
7	112	25
8	160	25
9	176	25
10	184	25
0	184	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 #s(literal 2 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)

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

localize22.0ms (0.6%)

Memory

27.7MiB live, 27.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0.00390625	(sqrt.f64 (+.f64 x #s(literal 2 binary64)))
accuracy	0.4630115356001464	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))

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 (47.1% of total)

ival-add: 2.0ms (23.5% of total)

ival-mult: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

5 → 31

Calls

Call 1

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

Outputs
(- (sqrt 2) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) (* (sqrt x) (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) (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 x) (sqrt 2))
(* 2 x)
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (- (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(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))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -1 (* x (- (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -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)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -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))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -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 (* (sqrt x) (* (sqrt -2) (sqrt -1))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify234.0ms (6%)

Memory

52.5MiB live, 91.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	591
1	342	517
2	1125	502
3	3515	485
4	6547	481
0	8293	452

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

Inputs
(- (sqrt 2) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) (* (sqrt x) (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) (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 x) (sqrt 2))
(* 2 x)
(* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (- (+ (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (sqrt (/ 1 (pow x 5)))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(* x (- (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 7))))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(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))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -1 (* x (- (+ (sqrt (/ 1 (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -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)))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -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))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))))
(* -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 (* (sqrt x) (* (sqrt -2) (sqrt -1))))

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

rewrite200.0ms (5.2%)

Memory

-26.7MiB live, 48.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	12	23
1	49	23
2	324	23
3	3695	23
0	8714	23

Stop Event

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

Counts

5 → 262

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x))) (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))))
(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))))
(.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 9/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9/2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 9/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 9/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))))
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(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(pow.f64 (.f64 x (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 x x)))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(exp.f64 (.f64 (log.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))

eval35.0ms (0.9%)

Memory: 27.2MiB live, 27.2MiB allocated
Compiler: Compiled 6 433 to 1 055 computations (83.6% saved)

prune97.0ms (2.5%)

Memory

-176.8MiB live, 19.9MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	269	21	290
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	269	22	291

Accuracy

100.0%

Counts

291 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))
▶	99.2%	(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
	22.1%	(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 #s(literal 2 binary64) x))))
▶	99.3%	(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
	99.0%	(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))
	98.9%	(/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))
	70.5%	(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))))
	79.8%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
	99.0%	(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))
	99.3%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
	22.0%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	71.6%	(-.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 #s(literal 2 binary64) x)))
	99.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
✓	99.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	57.2%	(-.f64 (sqrt.f64 #s(approx (+ x 2) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
▶	49.4%	(-.f64 #s(approx (sqrt (+ x 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)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
	49.9%	(-.f64 #s(approx (sqrt (+ x 2)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	98.9%	(.f64 (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 2 binary64) x (+.f64 #s(literal 2 binary64) x)))))
	98.9%	(*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
	71.2%	(.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
▶	57.3%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
▶	49.5%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))))

Compiler

Compiled 919 to 523 computations (43.1% saved)

simplify151.0ms (3.9%)

Memory

34.3MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
cost-diff	0	(*.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)
cost-diff	0	#s(approx (sqrt (+ x 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))
cost-diff	0	(-.f64 #s(approx (sqrt (+ x 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)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x)))
cost-diff	0	(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
cost-diff	1	(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))))
cost-diff	3	(fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	(+.f64 #s(literal 2 binary64) x)
cost-diff	0	(sqrt.f64 (+.f64 #s(literal 2 binary64) x))
cost-diff	1	(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))))
cost-diff	18	(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	41	401
0	73	401
1	124	392
2	227	386
3	489	383
4	1083	383
5	2934	371
6	5602	370
0	8309	370

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (3.4%)

Memory

-39.3MiB live, 45.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4630115356001464	(-.f64 #s(approx (sqrt (+ x 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)) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
accuracy	9.828758801592501	(*.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)
accuracy	17.247267336869694	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	31.82021667933538	#s(approx (sqrt (+ x 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))
accuracy	0.036483789073768064	(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) x (+.f64 #s(literal 2 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
accuracy	0.1640625	(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))
accuracy	0.33984375	(/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))
accuracy	0.4630115356001464	(-.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
accuracy	0.3639450195368841	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
accuracy	0.49609375	(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.7630580568011956	(-.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
accuracy	31.653771840643206	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
accuracy	0.0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.01953125	(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	0.19759750976844204	(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	27.350533357120316	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.1640625	(fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))
accuracy	0.20150375976844204	(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
accuracy	0.205410009768442	(/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))
accuracy	0.33984375	(/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))

Samples

104.0ms

256×

valid

Compiler

Compiled 370 to 41 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 13.0ms (25.7% of total)

ival-sqrt: 12.0ms (23.7% of total)

ival-div: 8.0ms (15.8% of total)

ival-add: 7.0ms (13.8% of total)

ival-sub: 6.0ms (11.9% of total)

ival-pow: 3.0ms (5.9% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series42.0ms (1.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

27 → 140

Calls

Call 1

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

Outputs
(/ 2 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))
(+ (* x (- (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))) (+ (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))
(+ (* x (- (+ (* x (+ (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (+ (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))
(+ (* x (- (+ (* x (+ (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (+ (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* x (- (+ (* -2 (+ (* 1/16 (/ 1 (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* (sqrt 2) (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))) (* 1/16 (/ 1 (* (pow (sqrt 2) 5) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))))) (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))))))) (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (+ (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))
(* -2 (/ x (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))
(* x (- (/ x (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
(* x (- (* x (+ (* -2 (* x (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
(* x (- (* x (+ (* x (- (* 2 (* x (+ (* 1/16 (/ 1 (* (pow (sqrt 2) 5) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* (sqrt 2) (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))) (* 1/16 (/ 1 (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))))))) (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (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 x) (sqrt 2)))
(- (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) (* (sqrt x) (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) (sqrt 2)))
(* (sqrt 2) (- 1 (sqrt x)))
(- 1 (sqrt x))
(sqrt x)
(* (sqrt x) (- 1 (sqrt 2)))
(sqrt (/ 1 x))
(/ 1 x)
(+ 2 (* -1 x))
(- (+ (sqrt 2) (* x (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (+ (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* x (- (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (* -1/2 (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (+ (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* x (- (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) (+ (* x (- (* 1/2 (- (* 1/8 (/ 1 (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (+ (* -1/2 (- (* 1/2 (- (* 1/2 (/ 1 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) (* -1/2 (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))))))) (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* -1/2 (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (+ (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (* (sqrt x) (sqrt 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/4 x))))))
(* -1 (sqrt (/ 1 x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(* -1 (sqrt (/ 1 (pow x 3))))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(* 2 (/ x (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))
(* x (+ (* -1 (/ x (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
(* x (+ (* x (- (* 2 (* x (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
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(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 1)
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ -2 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(- (* -1 (/ (+ (* -2 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 4))) (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(- (+ (* 2 (/ 1 (* (pow x 3) (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ 1 (* (pow x 4) (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow x 11))) (/ (+ (* -2 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- (+ (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))
(- (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))) (/ 1 (* (pow x 3) (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))) (/ 1 (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (pow x 13))) (* (pow (sqrt -1) 2) (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/2 (/ (pow x 2) (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* (sqrt x) (/ (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 4) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))) (+ (* (sqrt (/ 1 (pow x 11))) (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))))) (+ (/ 1/2 (* (pow x 4) (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (* (pow x 3) (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))))) (/ 1 (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 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)))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 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) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* x (+ 1 (* -1 (sqrt 2))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((+ (* (sqrt (+ 2 x)) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (sqrt (+ 2 x)) (+ 2 x) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (* (- 1 (sqrt x)) (sqrt 2)) (- 1 (sqrt x)) (sqrt x) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (sqrt (/ 1 x)) (/ 1 x) (+ (* -2 x) (+ 2 x)) (+ (* (/ (+ 2 x) (+ (* -2 x) (+ 2 x))) (- (sqrt (+ 2 x)) (sqrt (* 2 x)))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (/ (+ 2 x) (+ (* -2 x) (+ 2 x))) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (sqrt (+ x 2)) (* (- (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) x) (- (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))) (sqrt 2) (- x (* x (sqrt 2))) (* x (sqrt 2)) (- (sqrt (+ 2 x)) (sqrt (* 2 x))) (sqrt (/ 1 (pow x 3))))
11.0ms	x	@	inf	((+ (* (sqrt (+ 2 x)) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (sqrt (+ 2 x)) (+ 2 x) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (* (- 1 (sqrt x)) (sqrt 2)) (- 1 (sqrt x)) (sqrt x) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (sqrt (/ 1 x)) (/ 1 x) (+ (* -2 x) (+ 2 x)) (+ (* (/ (+ 2 x) (+ (* -2 x) (+ 2 x))) (- (sqrt (+ 2 x)) (sqrt (* 2 x)))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (/ (+ 2 x) (+ (* -2 x) (+ 2 x))) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (sqrt (+ x 2)) (* (- (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) x) (- (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))) (sqrt 2) (- x (* x (sqrt 2))) (* x (sqrt 2)) (- (sqrt (+ 2 x)) (sqrt (* 2 x))) (sqrt (/ 1 (pow x 3))))
10.0ms	x	@	0	((+ (* (sqrt (+ 2 x)) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (sqrt (+ 2 x)) (+ 2 x) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (* (- 1 (sqrt x)) (sqrt 2)) (- 1 (sqrt x)) (sqrt x) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (sqrt (/ 1 x)) (/ 1 x) (+ (* -2 x) (+ 2 x)) (+ (* (/ (+ 2 x) (+ (* -2 x) (+ 2 x))) (- (sqrt (+ 2 x)) (sqrt (* 2 x)))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (/ (+ 2 x) (+ (* -2 x) (+ 2 x))) (- (sqrt (+ x 2)) (sqrt (* 2 x))) (sqrt (+ x 2)) (* (- (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) x) (- (sqrt (/ 1 x)) (sqrt (/ 1 (pow x 3)))) (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))) (sqrt 2) (- x (* x (sqrt 2))) (* x (sqrt 2)) (- (sqrt (+ 2 x)) (sqrt (* 2 x))) (sqrt (/ 1 (pow x 3))))

Time

Variable

Point

Expression

16.0ms

-inf

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

11.0ms

inf

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

10.0ms

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

simplify219.0ms (5.6%)

Memory

-20.9MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	7050
1	2320	5420
0	8568	5271

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

Calls

Call 1

Inputs
(/ 2 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))
(+ (* x (- (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))) (+ (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))
(+ (* x (- (+ (* x (+ (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (+ (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))
(+ (* x (- (+ (* x (+ (* 1/2 (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (+ (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* x (- (+ (* -2 (+ (* 1/16 (/ 1 (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* (sqrt 2) (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))) (* 1/16 (/ 1 (* (pow (sqrt 2) 5) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))) (+ (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))))) (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))))))) (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (+ (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))
(* -2 (/ x (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))
(* x (- (/ x (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
(* x (- (* x (+ (* -2 (* x (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
(* x (- (* x (+ (* x (- (* 2 (* x (+ (* 1/16 (/ 1 (* (pow (sqrt 2) 5) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* (sqrt 2) (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))) (* 1/16 (/ 1 (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))))))) (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (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 x) (sqrt 2)))
(- (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (+ (* -1/8 (/ x (pow (sqrt 2) 3))) (* 1/2 (/ 1 (sqrt 2)))))) (* (sqrt x) (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) (sqrt 2)))
(* (sqrt 2) (- 1 (sqrt x)))
(- 1 (sqrt x))
(sqrt x)
(* (sqrt x) (- 1 (sqrt 2)))
(sqrt (/ 1 x))
(/ 1 x)
(+ 2 (* -1 x))
(- (+ (sqrt 2) (* x (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (+ (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* x (- (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (* -1/2 (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (+ (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (* (sqrt x) (sqrt 2)))
(- (+ (sqrt 2) (* x (- (+ (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* x (- (+ (* 1/2 (- (* 1/2 (/ 1 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) (+ (* x (- (* 1/2 (- (* 1/8 (/ 1 (pow (sqrt 2) 5))) (* 1/8 (/ 1 (pow (sqrt 2) 3))))) (+ (* -1/2 (- (* 1/2 (- (* 1/2 (/ 1 (sqrt 2))) (* 1/4 (/ 1 (pow (sqrt 2) 3))))) (* -1/2 (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))))))) (* 2 (+ (* 1/4 (/ 1 (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 2) 3) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))))))) (/ 1 (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2))))) (* -1/2 (- (* 1/2 (- (+ (sqrt 2) (/ 1 (sqrt 2))) (* (sqrt x) (sqrt 2)))) (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (+ (* -1/2 (- (sqrt 2) (* (sqrt x) (sqrt 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2))))))))) (* (sqrt x) (sqrt 2)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/4 x))))))
(* -1 (sqrt (/ 1 x)))
(/ (+ (sqrt (pow x 3)) (* -1 (sqrt x))) x)
(* -1 (sqrt (/ 1 (pow x 3))))
(/ (- (sqrt (pow x 3)) (sqrt x)) (pow x 2))
(* 2 (/ x (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))
(* x (+ (* -1 (/ x (* (sqrt 2) (pow (+ (sqrt 2) (* (sqrt x) (sqrt 2))) 2)))) (* 2 (/ 1 (+ (sqrt 2) (* (sqrt x) (sqrt 2)))))))
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(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 1)
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ -2 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(- (* -1 (/ (+ (* -2 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (pow x 4))) (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(- (+ (* 2 (/ 1 (* (pow x 3) (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ 1 (* (pow x 4) (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* -1 (* (sqrt (/ 1 (pow x 11))) (/ (+ (* -2 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
(* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- (+ (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))
(- (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))) (/ 1 (* (pow x 3) (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))) (/ 1 (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (pow x 13))) (* (pow (sqrt -1) 2) (+ (* 1/2 (* (sqrt (pow x 5)) (/ 1 (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/2 (/ (pow x 2) (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* (sqrt x) (/ (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ 1 (* (pow (sqrt -1) 4) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (+ (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* (sqrt (/ 1 (pow x 9))) (* (pow (sqrt -1) 2) (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))) (+ (* (sqrt (/ 1 (pow x 11))) (- (* -1 (/ x (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))))) (+ (/ 1/2 (* (pow x 4) (* (pow (sqrt -1) 4) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (* (pow x 3) (* (pow (sqrt -1) 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))))) (/ 1 (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (sqrt (/ 1 (pow x 3))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 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)))) (+ (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (sqrt 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) (sqrt 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(* x (+ 1 (* -1 (sqrt 2))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

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

rewrite231.0ms (6%)

Memory

12.4MiB live, 89.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	301
0	73	315
1	314	251
2	2532	249
0	8865	249

Stop Event

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

Counts

27 → 1 235

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64))) #s(literal -1 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 #s(literal 4 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 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 (pow.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 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 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3 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 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (fma.f64 x #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) 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 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 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 (-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.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 (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 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)))) (fma.f64 x #s(literal 2 binary64) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (.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 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.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))) (pow.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (+.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #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)))))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (+.f64 x #s(literal 2 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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -2 binary64) x) (+.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.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))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x #s(literal 2 binary64) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (+.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 x x))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -2 binary64) x) (+.f64 x #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))) (neg.f64 (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)))) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (+.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))))
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(-.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))))
(-.f64 (+.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 x #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (+.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64)) (+.f64 (fma.f64 x #s(literal 2 binary64) (sqrt.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (+.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (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 (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (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 (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)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -3 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 x)) x)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(fabs.f64 (pow.f64 x #s(literal -3/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(exp.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))

eval329.0ms (8.5%)

Memory: 17.9MiB live, 240.8MiB allocated
Compiler: Compiled 106 183 to 7 075 computations (93.3% saved)

prune62.0ms (1.6%)

Memory

20.1MiB live, 99.7MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	2 384	18	2 402
Fresh	11	5	16
Picked	3	2	5
Done	0	1	1
Total	2 398	26	2 424

Accuracy

100.0%

Counts

2 424 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(fma.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))
	99.3%	(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (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 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))))))
	99.0%	(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))
	98.8%	(fma.f64 x (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))) (/.f64 (+.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64))))))
	98.9%	(/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))))
	99.0%	(/.f64 (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64)))))
	22.0%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -4 binary64))) (sqrt.f64 (-.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	71.6%	(-.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 #s(literal 2 binary64) x)))
	99.1%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
✓	99.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	57.2%	(-.f64 (sqrt.f64 #s(approx (+ x 2) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	49.9%	(-.f64 #s(approx (sqrt (+ x 2)) (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
	49.5%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (/.f64 (-.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 x)))
	21.7%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x x) (sqrt.f64 x))))
	22.2%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (-.f64 (/.f64 (/.f64 (.f64 x x) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x x)) (sqrt.f64 x)) (/.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x x)) (sqrt.f64 x))))
	49.5%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
✓	57.3%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))))
	49.5%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
	49.6%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x) x)))
✓	49.5%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
	23.7%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x (sqrt.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))))))
	9.7%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))))
	49.6%	#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) #s(approx (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))))
	48.5%	#s(approx (+ (* (sqrt (+ 2 x)) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	50.2%	#s(approx (+ (* (sqrt (+ 2 x)) (/ (sqrt (+ 2 x)) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x))))) (neg (/ (* 2 x) (+ (* (sqrt x) (sqrt 2)) (sqrt (+ 2 x)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 1 542 to 582 computations (62.3% saved)

regimes17.0ms (0.4%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

7.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
7.0ms	x

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
6.0ms	x

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.5%	2	`x`
97.5%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))`
49.6%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
9.7%	1	`x`
9.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch15.0ms (0.4%)

Memory

-95.6MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.8645330757973024	3.798856984839441

Samples

5.0ms

96×

valid

Compiler

Compiled 186 to 167 computations (10.2% saved)

Precisions

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

ival-add: 1.0ms (32.3% of total)

ival-mult: 1.0ms (32.3% of total)

ival-sqrt: 1.0ms (32.3% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.8645330757973024	3.798856984839441

Compiler

Compiled 288 to 239 computations (17% saved)

simplify83.0ms (2.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	216
1	91	216
2	142	216
3	217	216
4	352	216
5	536	216
6	957	216
7	2049	216
8	6647	216

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (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 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(approx (sqrt (+ x 2)) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (- (sqrt (+ x 2)) (sqrt ( 2 x))) #s(approx (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) #s(approx (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))))

Outputs
(fma.f64 (/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x) (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 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) x (+.f64 x #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 2 binary64) x)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(approx (sqrt (+ x 2)) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal 2 binary64)) #s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (- (sqrt (+ x 2)) (sqrt ( 2 x))) #s(approx (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) #s(approx (* (sqrt (/ 1 x)) (- x (* x (sqrt 2)))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 2)) (sqrt (* 2 x))) (*.f64 #s(approx (- 1 (sqrt x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 #s(literal 2 binary64))))

soundness782.0ms (20.2%)

Memory

17.1MiB live, 17.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	591
1	342	517
2	1125	502
3	3515	485
4	6547	481
0	8293	452
0	7	23
0	12	23
1	49	23
2	324	23
3	3695	23
0	8714	23
0	41	301
0	73	315
1	314	251
2	2532	249
0	8865	249
0	717	7050
1	2320	5420
0	8568	5271

Stop Event

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

Compiler

Compiled 318 to 139 computations (56.3% saved)

preprocess37.0ms (1%)

Memory: 27.5MiB live, 27.5MiB allocated
Compiler: Compiled 450 to 136 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

start0.0ms (0%)

analyze0.0ms (0%)

sample903.0ms (23.3%)

explain210.0ms (5.4%)

preprocess22.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.2%)

localize22.0ms (0.6%)

series6.0ms (0.2%)

simplify234.0ms (6%)

rewrite200.0ms (5.2%)

eval35.0ms (0.9%)

prune97.0ms (2.5%)

simplify151.0ms (3.9%)

localize134.0ms (3.4%)

series42.0ms (1.1%)

simplify219.0ms (5.6%)

rewrite231.0ms (6%)

eval329.0ms (8.5%)

prune62.0ms (1.6%)

regimes17.0ms (0.4%)

regimes15.0ms (0.4%)

regimes13.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch15.0ms (0.4%)

bsearch1.0ms (0%)

simplify83.0ms (2.1%)

soundness782.0ms (20.2%)

preprocess37.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	23
1	21	19
2	53	18
3	92	18
4	144	18
5	205	18
6	234	18
7	247	18
0	7	9
0	12	9
1	16	9
2	21	9
3	27	9
4	35	9
5	50	9
6	83	9
7	112	9
8	160	9
9	176	9
10	184	9
0	184	9

Iter	Nodes	Cost
0	7	25
0	12	25
1	16	25
2	21	25
3	27	25
4	35	25
5	50	25
6	83	25
7	112	25
8	160	25
9	176	25
10	184	25
0	184	25

Iter	Nodes	Cost
0	9	23
1	21	19
2	53	18
3	92	18
4	144	18
5	205	18
6	234	18
7	247	18
0	7	9
0	12	9
1	16	9
2	21	9
3	27	9
4	35	9
5	50	9
6	83	9
7	112	9
8	160	9
9	176	9
10	184	9
0	184	9

Iter	Nodes	Cost
0	7	25
0	12	25
1	16	25
2	21	25
3	27	25
4	35	25
5	50	25
6	83	25
7	112	25
8	160	25
9	176	25
10	184	25
0	184	25

Iter	Nodes	Cost
0	9	23
1	21	19
2	53	18
3	92	18
4	144	18
5	205	18
6	234	18
7	247	18
0	7	9
0	12	9
1	16	9
2	21	9
3	27	9
4	35	9
5	50	9
6	83	9
7	112	9
8	160	9
9	176	9
10	184	9
0	184	9

Iter	Nodes	Cost
0	7	25
0	12	25
1	16	25
2	21	25
3	27	25
4	35	25
5	50	25
6	83	25
7	112	25
8	160	25
9	176	25
10	184	25
0	184	25