Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample2.2s (28%)

Memory

75.4MiB live, 2 738.1MiB allocated; 691ms collecting garbage

Samples

1.3s	6 403×	1	valid
446.0ms	1 750×	2	valid
8.0ms	103×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sqrt: 350.0ms (23.7% of total)

ival-div: 328.0ms (22.2% of total)

adjust: 287.0ms (19.5% of total)

const: 142.0ms (9.6% of total)

ival-add: 129.0ms (8.7% of total)

ival->: 111.0ms (7.5% of total)

ival-sub: 83.0ms (5.6% of total)

ival-<: 20.0ms (1.4% of total)

ival-and: 12.0ms (0.8% of total)

exact: 9.0ms (0.6% of total)

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

Bogosity

explain166.0ms (2.1%)

Memory

0.3MiB live, 194.9MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
188	-	1	(33.66882037541711)	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(sqrt.f64 x)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`	cancellation	187	1

Confusion

	Predicted +	Predicted -
+	187	1
-	0	68

Precision

1.0

Recall

0.9946808510638298

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	187	1	0
-	0	0	68

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	69
1	187

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	400×	1	valid
31.0ms	104×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-sqrt: 17.0ms (24.8% of total)

ival-div: 16.0ms (23.3% of total)

adjust: 16.0ms (23.3% of total)

ival-add: 14.0ms (20.4% of total)

ival-sub: 5.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess18.0ms (0.2%)

Memory

-24.4MiB live, 19.9MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	13	27
0	8	11
0	14	11
1	17	11
0	17	11

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	14	32
1	17	32
0	17	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (0.9%)

Memory

-16.6MiB live, 82.0MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.25390625	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	0.2578125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	41.79852383279553	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

34.0ms	200×	1	valid
12.0ms	52×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

adjust: 12.0ms (34.8% of total)

ival-sqrt: 9.0ms (26.1% of total)

ival-div: 8.0ms (23.2% of total)

ival-sub: 3.0ms (8.7% of total)

ival-add: 3.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

4 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))
2.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (/ 1 (sqrt (+ x 1))))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify132.0ms (1.7%)

Memory

35.5MiB live, 121.7MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	457
1	333	395
2	1237	369
3	6312	369
0	8119	348

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

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

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

rewrite165.0ms (2.1%)

Memory

-12.0MiB live, 94.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	14	23
1	59	19
2	416	19
3	5679	17
0	8791	17

Stop Event

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

Counts

4 → 261

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 (-.f64 (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))))
(*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x))))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (log1p.f64 x))))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -9/2 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -3/2 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x)))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (neg.f64 (neg.f64 (hypot.f64 (sqrt.f64 x) x))))
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(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (cos.f64 (atan.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 (acosh.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x))))
(*.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (atan.f64 (sqrt.f64 x))))
(pow.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(neg.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))
(sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (cos.f64 (atan.f64 (sqrt.f64 x))))
(cos.f64 (atan.f64 (fabs.f64 (neg.f64 (sqrt.f64 x)))))
(cos.f64 (atan.f64 (fabs.f64 (sqrt.f64 x))))
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))
(cos.f64 (atan.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 x) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) (log1p.f64 x))) (sinh.f64 (.f64 #s(literal -1/2 binary64) (log1p.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/4 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log1p.f64 x)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))

eval48.0ms (0.6%)

Memory: -6.4MiB live, 38.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 466 to 776 computations (85.8% saved)

prune11.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	277	8	285
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	277	9	286

Accuracy

82.9%

Counts

286 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.6%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
▶	32.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
▶	37.5%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
✓	34.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	33.6%	(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
▶	81.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
	80.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
	60.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 417 to 272 computations (34.8% saved)

simplify151.0ms (1.9%)

Memory

-27.5MiB live, 115.6MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
cost-diff	0	(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
cost-diff	0	(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
cost-diff	0	(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
cost-diff	4	(-.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
cost-diff	1	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
cost-diff	3	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	529
0	110	525
1	182	519
2	508	515
3	2202	514
0	8374	514

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal -1/2 binary64)
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(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)
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (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 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(hypot.f64 (sqrt.f64 x) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (atan.f64 (sqrt.f64 x)))
(atan.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 2 binary64)
(pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(neg.f64 (log1p.f64 x))
(log1p.f64 x)

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) (-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(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)
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(hypot.f64 (sqrt.f64 x) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 (atan.f64 (sqrt.f64 x)))
(atan.f64 (sqrt.f64 x))
(sqrt.f64 x)
#s(literal 2 binary64)
(pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(neg.f64 (log1p.f64 x))
(log1p.f64 x)

localize526.0ms (6.6%)

Memory

5.0MiB live, 470.1MiB allocated; 49ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	16.79915195433162	(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
accuracy	41.79852383279553	(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))
accuracy	55.14660957159993	(cos.f64 (atan.f64 (sqrt.f64 x)))
accuracy	58.20529482080985	(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
accuracy	0.015625	(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.16796875	(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
accuracy	0.8290269698592442	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
accuracy	58.132748559506645	(-.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.20703125	(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
accuracy	0.375	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	59.55496869659788	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	60.3438168873141	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	11.069814643793729	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
accuracy	12.137356893615605	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy	14.045009647809177	(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy	22.630833431517186	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

Samples

251.0ms	92×	2	valid
214.0ms	162×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 538 to 61 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

adjust: 63.0ms (17.4% of total)

ival-cos: 59.0ms (16.3% of total)

ival-pow: 55.0ms (15.2% of total)

ival-div: 38.0ms (10.5% of total)

ival-atan: 23.0ms (6.4% of total)

ival-exp: 17.0ms (4.7% of total)

ival-sqrt: 17.0ms (4.7% of total)

ival-log1p: 16.0ms (4.4% of total)

ival-sub: 15.0ms (4.1% of total)

ival-mult: 15.0ms (4.1% of total)

ival-hypot: 13.0ms (3.6% of total)

ival-pow2: 12.0ms (3.3% of total)

ival-add: 12.0ms (3.3% of total)

ival-neg: 7.0ms (1.9% of total)

exact: 1.0ms (0.3% of total)

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

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

series46.0ms (0.6%)

Memory

7.7MiB live, 53.6MiB allocated; 4ms collecting garbage

Counts

26 → 172

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(cos.f64 (atan.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))

Outputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ 1 x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(+ 1 x)
(* (sqrt x) (+ 1 (sqrt x)))
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* x (- (* (sqrt (/ 1 x)) (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))
(+ (* 2 (* (sqrt (/ 1 x)) (cos (atan (sqrt x))))) (/ 1 x))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (* x (- (* x (- (* x (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (* x (- (* x (- (* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (cos (atan (sqrt x))) (sqrt (/ 1 x)))
(+ (sqrt (/ 1 x)) (* x (- (* (sqrt (/ 1 x)) (pow (cos (atan (sqrt x))) 2)) (* -1 (/ (cos (atan (sqrt x))) x)))))
(+ (sqrt (/ 1 x)) (* x (- (* x (- (/ (pow (cos (atan (sqrt x))) 3) x) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (cos (atan (sqrt x))) 2))))) (* -1 (/ (cos (atan (sqrt x))) x)))))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))
(sqrt x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(cos (atan (sqrt x)))
(/ (+ (sqrt x) (* -1 (* x (cos (atan (sqrt x)))))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))
(+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))
(- (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))
(- (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))))))
(- (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))))))
(/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))
(/ 1 (* x (- (sqrt (/ 1 x)) (cos (atan (sqrt x))))))
(- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(- (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(- (sqrt (/ 1 x)) (cos (atan (sqrt x))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))
(+ (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(- (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(/ 1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(cos (atan (* (sqrt x) (pow (sqrt -1) 2))))
(- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt (/ 1 (pow x 3))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 5))) (sqrt x) (+ (sqrt (+ x 1)) (sqrt x)) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x)))))
13.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt (/ 1 (pow x 3))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 5))) (sqrt x) (+ (sqrt (+ x 1)) (sqrt x)) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x)))))
10.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt (/ 1 (pow x 3))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 5))) (sqrt x) (+ (sqrt (+ x 1)) (sqrt x)) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x)))))

Time

Variable

Point

Expression

18.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt (/ 1 (pow x 3))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 5))) (sqrt x) (+ (sqrt (+ x 1)) (sqrt x)) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x)))))

13.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt (/ 1 (pow x 3))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 5))) (sqrt x) (+ (sqrt (+ x 1)) (sqrt x)) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x)))))

10.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x))))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (+ x 1) x) (/ (- (+ x 1) x) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x))))) (+ x 1) (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (/ (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (- (pow x -1/2) (cos (atan (sqrt x))))) (- (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (pow (/ (exp (neg (log (+ 1 x)))) (- (pow x -1/2) (cos (atan (sqrt x))))) 2)) (pow (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) 2) (/ (pow x -1) (- (pow x -1/2) (cos (atan (sqrt x))))) (sqrt (/ 1 (pow x 3))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))) (sqrt (/ 1 (pow x 5))) (sqrt x) (+ (sqrt (+ x 1)) (sqrt x)) (cos (atan (sqrt x))) (- (pow x -1/2) (cos (atan (sqrt x)))))

simplify192.0ms (2.4%)

Memory

22.3MiB live, 120.7MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	870	5956
1	2980	4840
0	8555	4612

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 171

Calls

Call 1

Inputs
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(sqrt (/ 1 (pow x 5)))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/ 1 x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(+ 1 x)
(* (sqrt x) (+ 1 (sqrt x)))
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))
(* x (+ (sqrt (/ 1 (pow x 3))) (* x (- (+ (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* x (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* x (- (* (sqrt (/ 1 x)) (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* -1 (* (sqrt (/ 1 x)) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))))))) (* -1 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (- (* 2 (/ (cos (atan (sqrt x))) (pow x 2))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))))) (* -1 (/ (cos (atan (sqrt x))) (pow x 2)))))))
(+ (* 2 (* (sqrt (/ 1 x)) (cos (atan (sqrt x))))) (/ 1 x))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (* x (- (* x (- (* x (- (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))) (* 2 (/ 1 x))) (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (+ (/ 1 x) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (* x (- (* -1 (* x (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (* x (- (* x (- (* -1 (* x (+ (* 2 (* (sqrt (/ 1 x)) (* (cos (atan (sqrt x))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2)))))) (* 2 (* (sqrt (/ 1 (pow x 5))) (pow (cos (atan (sqrt x))) 3)))))) (+ (* -4 (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))) (/ (pow (cos (atan (sqrt x))) 2) (pow x 2))))) (* -2 (* (sqrt (/ 1 (pow x 3))) (cos (atan (sqrt x))))))) (/ 1 x))
(+ (cos (atan (sqrt x))) (sqrt (/ 1 x)))
(+ (sqrt (/ 1 x)) (* x (- (* (sqrt (/ 1 x)) (pow (cos (atan (sqrt x))) 2)) (* -1 (/ (cos (atan (sqrt x))) x)))))
(+ (sqrt (/ 1 x)) (* x (- (* x (- (/ (pow (cos (atan (sqrt x))) 3) x) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (cos (atan (sqrt x))) 2))))) (* -1 (/ (cos (atan (sqrt x))) x)))))
(sqrt (/ 1 (pow x 3)))
(/ (+ (sqrt x) (* x (- (* 1/4 (sqrt x)) (sqrt x)))) (pow x 2))
(sqrt x)
(+ 1 (sqrt x))
(+ 1 (+ (sqrt x) (* 1/2 x)))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))
(+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
(cos (atan (sqrt x)))
(/ (+ (sqrt x) (* -1 (* x (cos (atan (sqrt x)))))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 (pow x 3)))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (sqrt (/ 1 (pow x 7))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* 1/4 (sqrt (/ 1 (pow x 3))))))))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* 1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
x
(* x (+ 1 (/ 1 x)))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))
(+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))
(- (+ (* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 3)))))
(* -1 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))
(- (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))
(- (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))))))
(- (+ (* 4 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 3) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* -2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* x (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (* 2 (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))) (+ (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))) (/ (pow (exp (neg (* -1 (log (/ 1 x))))) 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2))))))
(/ 1 (* (pow x 2) (pow (- (sqrt (/ 1 x)) (cos (atan (sqrt x)))) 2)))
(/ 1 (* x (- (sqrt (/ 1 x)) (cos (atan (sqrt x))))))
(- (* 1/4 (sqrt (/ 1 x))) (sqrt (/ 1 x)))
(- (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))
(* 2 (sqrt x))
(* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(- (sqrt (/ 1 x)) (cos (atan (sqrt x))))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (+ (* 1/2 (* (pow (sqrt -1) 2) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (pow (sqrt -1) 6)))) (* 1/16 (sqrt (pow x 3)))) x)) (+ (* -1/4 (* (sqrt x) (+ (* -1 (pow (sqrt -1) 4)) (* 1/4 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt x))) (pow x 2))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 4))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))
(+ (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(- (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(/ 1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(cos (atan (* (sqrt x) (pow (sqrt -1) 2))))
(- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2)))))

Outputs
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) x (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 3))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 3))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) x (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(sqrt (/ 1 (pow x 5)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (sqrt x) (* x (- (* 1/2 (sqrt x)) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (sqrt x) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (sqrt x) (* x (- (+ (* 1/2 (sqrt x)) (* x (- (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (* 1/4 (sqrt x))))) (sqrt x)))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64)) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64))) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
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(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))) (neg.f64 x))) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 8))) (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 6))) (* 1/2 (sqrt x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) #s(literal -1/4 binary64))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x))
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))
(/.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64)))
(+ (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x) (/.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))
(-.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))))) x)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3)))) x))) x)) (* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 3))))
(-.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64)))))) x)) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 3 binary64))))
(* -1 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(/.f64 (neg.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
(- (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (* x (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (+ (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2))) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (* 2 (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))) x)) (/ (pow (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))))) x) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (neg.f64 (log.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64))))
(/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2))))) 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
(/ 1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2)))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 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))))
(- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (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)))
(* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))))
(cos (atan (* (sqrt x) (pow (sqrt -1) 2))))
(cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x))))
(- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (cos (atan (* (sqrt x) (pow (sqrt -1) 2)))))
(-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (cos.f64 (atan.f64 (neg.f64 (sqrt.f64 x)))))

rewrite211.0ms (2.7%)

Memory

-12.6MiB live, 128.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	393
0	110	371
1	428	324
2	3393	319
0	8241	319

Stop Event

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

Counts

26 → 824

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(cos.f64 (atan.f64 (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 x)) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) x))
(.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (.f64 x x)))
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) x)
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) (.f64 x x))
(/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (.f64 x x))
(neg.f64 (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (.f64 x x)))
(neg.f64 (/.f64 (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (.f64 (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) x)) (pow.f64 (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (hypot.f64 (sqrt.f64 x) x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 x (+.f64 (+.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x))))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x)))) (sqrt.f64 x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x))))) (sqrt.f64 x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (asinh.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (neg.f64 (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) (hypot.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64)) (+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (hypot.f64 (sqrt.f64 x) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))) (/.f64 (/.f64 x (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (tanh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))
(+.f64 (/.f64 (/.f64 x (hypot.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (hypot.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))

eval300.0ms (3.8%)

Memory: 20.2MiB live, 239.8MiB allocated; 35ms collecting garbage
Compiler: Compiled 62 616 to 6 993 computations (88.8% saved)

prune41.0ms (0.5%)

Memory

15.3MiB live, 108.6MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 608	17	1 625
Fresh	2	1	3
Picked	4	1	5
Done	0	1	1
Total	1 614	20	1 634

Accuracy

100.0%

Counts

1 634 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	37.5%	(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
▶	98.6%	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	32.1%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
	98.7%	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
	34.6%	(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
▶	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
	98.7%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
	97.6%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
✓	34.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	80.8%	#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) x))
	81.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
▶	80.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (.f64 x x)))
	81.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (.f64 x x)))
	80.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	60.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶	98.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))

Compiler

Compiled 1 213 to 800 computations (34% saved)

simplify136.0ms (1.7%)

Memory

8.1MiB live, 156.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
cost-diff	0	(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
cost-diff	0	#s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
cost-diff	0	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (.f64 x x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff	0	(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
cost-diff	0	(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)
cost-diff	0	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x))
cost-diff	0	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	515
0	102	515
1	166	509
2	355	509
3	1186	509
4	4943	509
0	8273	501

Stop Event

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

Calls

Call 1

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

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

localize966.0ms (12.1%)

Memory

-135.3MiB live, 322.0MiB allocated; 1.1s collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.20703125	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
accuracy	0.3046875	(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
accuracy	0.375	(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.5742478699666833	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
accuracy	0.19921875	(/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
accuracy	0.328125	(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	0.5751039575133102	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
accuracy	0.6111118454277426	#s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
accuracy	0.02734375	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	1.2345759987523728	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (.f64 x x)))
accuracy	11.094873384025286	(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (.f64 x x))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.25390625	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	60.3438168873141	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy	0.01171875	(-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
accuracy	0.20703125	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
accuracy	0.5682840292940678	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x))
accuracy	0.7143978751571706	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))

Samples

859.0ms	200×	1	valid
55.0ms	52×	2	valid
1.0ms	4×	0	valid

Compiler

Compiled 355 to 60 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 874.0ms

ival-div: 697.0ms (79.8% of total)

adjust: 93.0ms (10.6% of total)

ival-mult: 27.0ms (3.1% of total)

ival-add: 19.0ms (2.2% of total)

ival-sqrt: 14.0ms (1.6% of total)

ival-sub: 13.0ms (1.5% of total)

ival-pow: 5.0ms (0.6% of total)

ival-neg: 4.0ms (0.5% of total)

exact: 1.0ms (0.1% of total)

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

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

series27.0ms (0.3%)

Memory

-22.9MiB live, 21.1MiB allocated; 7ms collecting garbage

Counts

23 → 106

Calls

Call 1

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

Outputs
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(sqrt x)
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 x)))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 x)))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

-inf

((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ 1/4 (* x x)) (sqrt (/ 1 x)) (* 3/4 (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x))

4.0ms

((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ 1/4 (* x x)) (sqrt (/ 1 x)) (* 3/4 (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x))

4.0ms

inf

((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) x) (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (* x x)) (* -1/2 (- (sqrt (/ 1 x)) (sqrt x))) (- (sqrt (/ 1 x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) (/ 1/4 (* x x)) (sqrt (/ 1 x)) (* 3/4 (sqrt (/ 1 x))) (/ (* 3/4 (sqrt (/ 1 x))) x))

simplify139.0ms (1.8%)

Memory

24.5MiB live, 119.2MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	2097
1	1468	1707
2	6192	1686
0	8369	1592

Stop Event

1×	iter limit
1×	node limit

Counts

106 → 106

Calls

Call 1

Inputs
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(sqrt x)
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -1/2 (sqrt (/ 1 x)))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 x)))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 x)))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))

Outputs
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))) x (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) x)
(- 1 (sqrt x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64)) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 5/16 binary64)) x (-.f64 (*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/8 binary64))) x (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/ 1/4 (pow x 3))
(/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 1/4 (pow x 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) x) x)
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ (sqrt x) (* -1 x)) x)
(/.f64 (-.f64 (sqrt.f64 x) x) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(sqrt x)
(sqrt.f64 x)
(* -1/2 (sqrt (/ 1 (pow x 5))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(* -1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1/2 binary64))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) (pow.f64 x #s(literal 5 binary64))))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (fma.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x (sqrt.f64 x)) #s(literal -1/2 binary64) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) x)) (pow.f64 x #s(literal 5 binary64)))
(* -3/8 (sqrt (/ 1 (pow x 5))))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (.f64 x x))
(- (+ 1 (* 1/2 x)) (sqrt x))
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (.f64 x x))
(* 3/4 (sqrt (/ 1 x)))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 x x))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(fma.f64 #s(literal -3/8 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal -1/4 binary64)) x)) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 3/8 (/ 1 x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x)))) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 x x))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (*.f64 #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)
(* 1/2 (sqrt x))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))
(.f64 (.f64 #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)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(*.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)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
(* 1/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal -3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 3/16 binary64) (sqrt.f64 x))) (neg.f64 x))) (neg.f64 x))) (.f64 x x))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 x) (/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3/16 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal 5/32 binary64) (sqrt.f64 x))) (neg.f64 x)))) (neg.f64 x))) (neg.f64 x))) (.f64 x x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3/8 binary64)) x) x)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3/8 binary64) #s(literal 1/4 binary64)) x) x)) x)
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (/.f64 (.f64 (*.f64 #s(literal 1/8 binary64) x) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (neg.f64 x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3/8 binary64) x))) (neg.f64 x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x)
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x)
(* (sqrt x) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(/.f64 (fma.f64 (.f64 #s(literal 5/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal 5/4 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) (neg.f64 x))) (neg.f64 x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite141.0ms (1.8%)

Memory

-12.3MiB live, 121.9MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	425
0	102	417
1	391	364
2	3004	341
0	8670	329

Stop Event

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

Counts

23 → 301

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (sqrt.f64 x))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal 3 binary64)) (/.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) x) x) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (.f64 x (/.f64 #s(literal 3/8 binary64) x)))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (neg.f64 (/.f64 #s(literal 3/8 binary64) x))) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) x) x) #s(literal 2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal 3 binary64)) (/.f64 #s(literal -27/512 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) x) x) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64))) x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (.f64 x (/.f64 #s(literal 3/8 binary64) x))) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x)) (neg.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (neg.f64 x)) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -3/8 binary64)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)) (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -3/8 binary64)))) (neg.f64 (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) x) (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/8 binary64)))) (neg.f64 (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (neg.f64 x)) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -3/8 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) x) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x)) (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -3/8 binary64))) (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) x) (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3/8 binary64))) (.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))) (/.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/8 binary64) x))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -9/2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) x))) (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (.f64 x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64))) (.f64 #s(literal 1/4 binary64) x)) (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) x) #s(literal 3/2 binary64))) (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal -1 binary64)) (.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) x))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x))
(+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 x))) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/4 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) (fabs.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (pow.f64 x #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 x (*.f64 x x)))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x))))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)))
(*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/4 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/4 binary64))
(/.f64 #s(literal -3/4 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 3/4 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 3/4 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64))
(*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (/.f64 #s(literal 3/4 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/4 binary64) x))
(/.f64 (fabs.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x))) x)
(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x)
(neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal -3 binary64))))
(fabs.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64)))

eval67.0ms (0.8%)

Memory: 27.4MiB live, 78.3MiB allocated; 8ms collecting garbage
Compiler: Compiled 17 011 to 2 013 computations (88.2% saved)

prune24.0ms (0.3%)

Memory

-6.4MiB live, 39.3MiB allocated; 3ms collecting garbage

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	429	14	443
Fresh	6	7	13
Picked	3	2	5
Done	0	2	2
Total	438	25	463

Accuracy

100.0%

Counts

463 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	37.5%	(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
	97.5%	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	98.3%	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	32.1%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
	98.7%	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
	34.6%	(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
▶	97.5%	(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
✓	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
	81.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (.f64 x (/.f64 #s(literal 3/8 binary64) x))) (.f64 x x))) (sqrt.f64 x))
	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
▶	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
	98.7%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
	97.6%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
	80.6%	(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
✓	34.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	80.8%	#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	80.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	32.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶	98.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
▶	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 1 408 to 921 computations (34.6% saved)

simplify140.0ms (1.8%)

Memory

12.4MiB live, 101.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
cost-diff	0	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
cost-diff	0	(neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
cost-diff	2	(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
cost-diff	0	#s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
cost-diff	0	#s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
cost-diff	0	#s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 (sqrt.f64 x) x)
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
cost-diff	0	(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)
cost-diff	0	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x))
cost-diff	0	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	631
0	111	631
1	173	625
2	346	623
3	1127	623
4	4769	623
0	8281	607

Stop Event

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

Calls

Call 1

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

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

localize370.0ms (4.6%)

Memory

10.4MiB live, 291.6MiB allocated; 91ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
accuracy	0.3046875	(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
accuracy	0.546875	(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
accuracy	0.5742478699666833	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
accuracy	0.19921875	(/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x)
accuracy	0.29296875	(/.f64 #s(literal 3/4 binary64) (sqrt.f64 x))
accuracy	0.5751039575133102	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
accuracy	0.6111118454277426	#s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
accuracy	0.1796875	(/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)
accuracy	0.5751039575133102	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
accuracy	0.6111118454277426	#s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x))
accuracy	1.3182422591769578	#s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.29296875	(/.f64 (sqrt.f64 x) x)
accuracy	60.3438168873141	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
accuracy	0.0078125	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)
accuracy	0.20703125	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
accuracy	0.5682840292940678	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x))
accuracy	0.7143978751571706	(/.f64 #s(literal 1/4 binary64) (*.f64 x x))

Samples

258.0ms	200×	1	valid
63.0ms	52×	2	valid
2.0ms	4×	0	valid

Compiler

Compiled 389 to 70 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-div: 84.0ms (30.1% of total)

ival-mult: 80.0ms (28.7% of total)

adjust: 53.0ms (19% of total)

ival-add: 18.0ms (6.5% of total)

ival-sqrt: 16.0ms (5.7% of total)

ival-sub: 14.0ms (5% of total)

ival-neg: 7.0ms (2.5% of total)

ival-pow: 5.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series23.0ms (0.3%)

Memory

-24.3MiB live, 19.9MiB allocated; 7ms collecting garbage

Counts

24 → 126

Calls

Call 1

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

Outputs
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(sqrt x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (sqrt x) 1))))
(/ (+ (* -1 (* (sqrt x) (* (sqrt -1) (- (sqrt x) 1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1)))) x)
(/ (+ (* -1 (* (sqrt x) (* (sqrt -1) (- (sqrt x) 1)))) (* x (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (- (sqrt x) 1) (sqrt -1)))) (* 1/8 (* (sqrt x) (sqrt -1)))))) (* 1/2 (* (sqrt x) (sqrt -1)))))) x)
(/ (+ (* -1 (* (sqrt x) (* (sqrt -1) (- (sqrt x) 1)))) (* x (+ (* 1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (- (sqrt x) 1) (sqrt -1)))) (+ (* -1/16 (* (sqrt x) (sqrt -1))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))) (* -1 (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (- (sqrt x) 1) (sqrt -1)))) (* 1/8 (* (sqrt x) (sqrt -1)))))))))) x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1/2 x)) 1)
(- (+ (sqrt x) (* x (- (* 1/8 x) 1/2))) 1)
(- (+ (sqrt x) (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))) 1)
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 x)))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(* -1 (* (sqrt x) (sqrt -1)))
(+ (* -1 (* (sqrt x) (sqrt -1))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))
(+ (* -1 (* (sqrt x) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))))))
(+ (* -1 (* (sqrt x) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))))))))
(* -1/8 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 x)))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(/ (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -3/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -3/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))) (+ (* -1 (/ (+ (* -5/32 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(/ (- (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) x)
(/ (- (* 5/128 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* -1 x)
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1))
(* x (- (+ (/ 1/8 (pow x 2)) (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) 1))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* -3/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))))) x)) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -3/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* 1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))) (* 5/32 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (- (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (- (* 5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(* x (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* -1/8 (/ (pow (sqrt -1) 2) x))) x)) (* -1 (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (pow (sqrt -1) 2) x)) (* 1/8 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1 (pow (sqrt -1) 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

12.0ms

-inf

((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (+ (/ 1/4 (* x x)) (- 1/2 (/ 3/8 x))) x) (+ (/ 1/4 (* x x)) (- 1/2 (/ 3/8 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (/ 3/4 (sqrt x)) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (/ 3/4 (sqrt x)) x) (sqrt (/ 1 x)))) (/ (neg (- (sqrt (+ x 1)) (sqrt x))) (* (neg (sqrt (- x 1))) (sqrt x))) (neg (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (/ 1/4 (* x x)) (/ 3/4 (sqrt x)) (/ (/ 3/4 (sqrt x)) x) (* (neg (sqrt (- x 1))) (sqrt x)) (/ -1/8 (sqrt x)))

4.0ms

((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (+ (/ 1/4 (* x x)) (- 1/2 (/ 3/8 x))) x) (+ (/ 1/4 (* x x)) (- 1/2 (/ 3/8 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (/ 3/4 (sqrt x)) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (/ 3/4 (sqrt x)) x) (sqrt (/ 1 x)))) (/ (neg (- (sqrt (+ x 1)) (sqrt x))) (* (neg (sqrt (- x 1))) (sqrt x))) (neg (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (/ 1/4 (* x x)) (/ 3/4 (sqrt x)) (/ (/ 3/4 (sqrt x)) x) (* (neg (sqrt (- x 1))) (sqrt x)) (/ -1/8 (sqrt x)))

4.0ms

inf

((/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/ (+ (/ 1/4 (* x x)) (- 1/2 (/ 3/8 x))) x) (+ (/ 1/4 (* x x)) (- 1/2 (/ 3/8 x))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/ (* -1/2 (- (/ (/ 3/4 (sqrt x)) x) (sqrt (/ 1 x)))) x) (* -1/2 (- (/ (/ 3/4 (sqrt x)) x) (sqrt (/ 1 x)))) (/ (neg (- (sqrt (+ x 1)) (sqrt x))) (* (neg (sqrt (- x 1))) (sqrt x))) (neg (- (sqrt (+ x 1)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (/ 1/4 (* x x)) (/ 3/4 (sqrt x)) (/ (/ 3/4 (sqrt x)) x) (* (neg (sqrt (- x 1))) (sqrt x)) (/ -1/8 (sqrt x)))

simplify138.0ms (1.7%)

Memory

27.9MiB live, 122.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	2816
1	2052	2306
0	8884	2169

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 126

Calls

Call 1

Inputs
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)
(- 1 (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/2 (- 1 (sqrt x)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (* 3/8 (- 1 (sqrt x))) 3/8)))))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (+ (* -1/2 (- 1 (sqrt x))) (* x (- (+ (* 3/8 (- 1 (sqrt x))) (* x (+ 5/16 (* -5/16 (- 1 (sqrt x)))))) 3/8)))))) (sqrt x))
(/ 1/4 (pow x 3))
(/ (+ 1/4 (* -3/8 x)) (pow x 3))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 3))
(/ 1/4 (pow x 2))
(/ (+ 1/4 (* -3/8 x)) (pow x 2))
(/ (+ 1/4 (* x (- (* 1/2 x) 3/8))) (pow x 2))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 x)) x)
(/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)
(/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)
(sqrt x)
(* -1/2 (sqrt (/ 1 (pow x 9))))
(/ (+ (* -1/2 (sqrt x)) (* -1/2 (* x (- (* 1/2 (sqrt x)) (sqrt x))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (* x (- (sqrt x) (* 1/4 (sqrt x))))) (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x)))))) (pow x 5))
(/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (- (* 1/2 (sqrt x)) (sqrt x))) (* x (+ (* -1/2 (- (sqrt x) (* 1/4 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))))) (pow x 5))
(* -3/8 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* -3/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* -1 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (sqrt x) 1))))
(/ (+ (* -1 (* (sqrt x) (* (sqrt -1) (- (sqrt x) 1)))) (* 1/2 (* (sqrt (pow x 3)) (sqrt -1)))) x)
(/ (+ (* -1 (* (sqrt x) (* (sqrt -1) (- (sqrt x) 1)))) (* x (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (- (sqrt x) 1) (sqrt -1)))) (* 1/8 (* (sqrt x) (sqrt -1)))))) (* 1/2 (* (sqrt x) (sqrt -1)))))) x)
(/ (+ (* -1 (* (sqrt x) (* (sqrt -1) (- (sqrt x) 1)))) (* x (+ (* 1/2 (* (sqrt x) (sqrt -1))) (* x (+ (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (- (sqrt x) 1) (sqrt -1)))) (+ (* -1/16 (* (sqrt x) (sqrt -1))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))) (* -1 (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (- (sqrt x) 1) (sqrt -1)))) (* 1/8 (* (sqrt x) (sqrt -1)))))))))) x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1/2 x)) 1)
(- (+ (sqrt x) (* x (- (* 1/8 x) 1/2))) 1)
(- (+ (sqrt x) (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))) 1)
(- (+ 1 (* 1/2 x)) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))
(* -1/8 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))
(* 3/4 (sqrt (/ 1 x)))
(* 3/4 (sqrt (/ 1 (pow x 3))))
(* -1 (* (sqrt x) (sqrt -1)))
(+ (* -1 (* (sqrt x) (sqrt -1))) (* -1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))))
(+ (* -1 (* (sqrt x) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))))))
(+ (* -1 (* (sqrt x) (sqrt -1))) (* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))) (* 1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))))))))
(* -1/8 (sqrt (/ 1 x)))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* -1 (/ (+ (* 1/8 x) (* 1/4 x)) (pow x 2)))) x)
(/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- (+ 1/2 (+ (* -1/4 (/ (+ 1 (* 1/4 x)) (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (+ (/ 1/8 x) (/ 1/4 x))) x)
(/ (- 1/2 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x))) x)
1/2
(- 1/2 (* 3/8 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 2))) (* 3/8 (/ 1 x)))
(/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))
(/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))
(/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/2 (/ (- (sqrt (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (/ (- (* 1/2 (sqrt (/ 1 x))) (sqrt (/ 1 x))) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) x)
(/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* 1/2 (sqrt (/ 1 x)))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(/ (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -3/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -3/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))) (+ (* -1 (/ (+ (* -5/32 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))))) (pow x 2))
(* -1/2 (sqrt (/ 1 x)))
(/ (- (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))) x)
(/ (- (* 5/128 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))
(* -1 x)
(* x (- (* 1/2 (/ 1 x)) 1))
(* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1))
(* x (- (+ (/ 1/8 (pow x 2)) (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) 1))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* -1/8 (/ x (pow (sqrt -1) 2)))) (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (+ (* -1/8 (/ x (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 4))) (* 1/4 (/ (* x (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) (pow x 3)))) (+ (/ -1/4 (* x (pow (sqrt -1) 2))) (/ -1/8 (* x (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 3/8) x)) 1/2) x))
(+ 1/2 (* -1 (/ (- 3/8 (* 1/4 (/ 1 x))) x)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x))
(+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))
(/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* -3/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))))) x)) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -3/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* 1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4)))))) (+ (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 4)))) (* 5/32 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))
(* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (- (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (- (* 5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(* x (pow (sqrt -1) 2))
(* -1 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* -1/8 (/ (pow (sqrt -1) 2) x))) x)) (* -1 (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (pow (sqrt -1) 2) x)) (* 1/8 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1 (pow (sqrt -1) 2)))))

Outputs
(* (sqrt (/ 1 x)) (- 1 (sqrt x)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(* x (pow (sqrt -1) 2))
(neg.f64 x)
(* -1 (* x (+ (* -1 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* -1/8 (/ (pow (sqrt -1) 2) x))) x)) (* -1 (pow (sqrt -1) 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (pow (sqrt -1) 2) x)) (* 1/8 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1 (pow (sqrt -1) 2)))))
(*.f64 x (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))

rewrite146.0ms (1.8%)

Memory

4.8MiB live, 134.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	547
0	111	531
1	412	468
2	3246	447
0	9042	431

Stop Event

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

Counts

24 → 259

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x))) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) (sqrt.f64 x))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x))) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))
(/.f64 (+.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64))) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x))) x))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) (neg.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (/.f64 (/.f64 #s(literal 3/8 binary64) x) x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/8 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/8 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64))) x (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) x)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x) (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 2 binary64))) (.f64 x x) (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64))) x (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) x)))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 3 binary64))) (.f64 (neg.f64 x) x) (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) x) (+.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (.f64 (neg.f64 x) x))))
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(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))

eval82.0ms (1%)

Memory: 6.3MiB live, 103.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 21 009 to 2 401 computations (88.6% saved)

prune33.0ms (0.4%)

Memory

15.0MiB live, 60.7MiB allocated; 5ms collecting garbage

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	489	6	495
Fresh	5	11	16
Picked	0	5	5
Done	0	4	4
Total	494	26	520

Accuracy

100.0%

Counts

520 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	37.5%	(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
	98.3%	(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
	32.1%	(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
	98.7%	(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
	34.6%	(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
	97.2%	(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
✓	97.5%	(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
	97.6%	(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) #s(approx (* (neg (sqrt (- x 1))) (sqrt x)) (neg.f64 x)))
	81.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))) (*.f64 x x))) (sqrt.f64 x))
✓	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) (sqrt.f64 x))
✓	98.8%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
	98.7%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
	97.6%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
	97.3%	(/.f64 #s(approx (neg (- (sqrt (+ x 1)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
✓	34.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	80.8%	#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	80.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	32.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	98.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
✓	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))

Compiler

Compiled 2 314 to 845 computations (63.5% saved)

regimes26.0ms (0.3%)

Memory

-13.9MiB live, 31.3MiB allocated; 6ms collecting garbage

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (.f64 x x)))
#s(approx (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x x) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) #s(approx (* (neg (sqrt (- x 1))) (sqrt x)) (neg.f64 x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)) (sqrt.f64 x))
(/.f64 #s(approx (neg (- (sqrt (+ x 1)) (sqrt x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sqrt.f64 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
(/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) x (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x)))) (*.f64 x x))) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) x) (.f64 x (/.f64 #s(literal 3/8 binary64) x))) (.f64 x x))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (.f64 x x)))
(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (neg.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (hypot.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (hypot.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x))))) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (cos.f64 (atan.f64 (sqrt.f64 x)))))

Outputs

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

Calls

2 calls:

16.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.4%)

Memory

-50.8MiB live, 21.5MiB allocated; 14ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

26.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))

Outputs

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))

Outputs

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-40.0MiB live, 6.5MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ (* (sqrt x) (sqrt x)) (* x x)))) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))

Outputs

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
80.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
80.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
32.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
32.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
5.7%	1	`x`
5.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify52.0ms (0.7%)

Memory

5.2MiB live, 50.7MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	356
1	137	344
2	279	344
3	997	344
4	4521	344

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(approx (- (+ (/ 1/4 (* x x)) 1/2) (/ 3/8 x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) x))) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (* x x)) (/.f64 #s(approx (* -1/2 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (* -1/2 (- (+ (* (+ (* 1/2 x) 1) (sqrt (/ 1 (pow x 5)))) (neg (sqrt x))) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (neg (sqrt (/ 1 x)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

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

derivations989.0ms (12.4%)

Memory

35.4MiB live, 545.8MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	425
0	102	417
1	391	364
2	3004	341
0	8670	329
0	8	23
0	14	23
1	59	19
2	416	19
3	5679	17
0	8791	17
0	79	547
0	111	531
1	412	468
2	3246	447
0	9042	431
0	451	2097
1	1468	1707
2	6192	1686
0	8369	1592
0	870	5956
1	2980	4840
0	8555	4612
0	114	457
1	333	395
2	1237	369
3	6312	369
0	8119	348
0	60	393
0	110	371
1	428	324
2	3393	319
0	8241	319

Stop Event

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

Compiler

Compiled 356 to 94 computations (73.6% saved)

preprocess70.0ms (0.9%)

Memory: 10.0MiB live, 54.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 752 to 218 computations (71% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.2s (28%)

explain166.0ms (2.1%)

preprocess18.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize73.0ms (0.9%)

series6.0ms (0.1%)

simplify132.0ms (1.7%)

rewrite165.0ms (2.1%)

eval48.0ms (0.6%)

prune11.0ms (0.1%)

simplify151.0ms (1.9%)

localize526.0ms (6.6%)

series46.0ms (0.6%)

simplify192.0ms (2.4%)

rewrite211.0ms (2.7%)

eval300.0ms (3.8%)

prune41.0ms (0.5%)

simplify136.0ms (1.7%)

localize966.0ms (12.1%)

series27.0ms (0.3%)

simplify139.0ms (1.8%)

rewrite141.0ms (1.8%)

eval67.0ms (0.8%)

prune24.0ms (0.3%)

simplify140.0ms (1.8%)

localize370.0ms (4.6%)

series23.0ms (0.3%)

simplify138.0ms (1.7%)

rewrite146.0ms (1.8%)

eval82.0ms (1%)

prune33.0ms (0.4%)

regimes26.0ms (0.3%)

regimes10.0ms (0.1%)

regimes30.0ms (0.4%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify52.0ms (0.7%)

derivations989.0ms (12.4%)

preprocess70.0ms (0.9%)

end0.0ms (0%)

Profiling