Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze30.0ms (0.4%)

Memory

-40.4MiB live, 9.3MiB allocated; 4ms 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)

sample2.5s (31.8%)

Memory

136.9MiB live, 2 683.2MiB allocated; 649ms collecting garbage

Samples

1.6s	6 483×	1	valid
503.0ms	1 645×	2	valid
13.0ms	128×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-div: 576.0ms (33% of total)

ival-sqrt: 392.0ms (22.4% of total)

adjust: 382.0ms (21.9% of total)

const: 129.0ms (7.4% of total)

ival-sub: 90.0ms (5.2% of total)

ival-add: 84.0ms (4.8% of total)

ival->: 39.0ms (2.2% of total)

ival-<: 31.0ms (1.8% of total)

ival-and: 12.0ms (0.7% of total)

exact: 8.0ms (0.5% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain155.0ms (2%)

Memory

-34.3MiB live, 157.0MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
178	-	2	(26.622552908249855)	`(-.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	176	2

Confusion

	Predicted +	Predicted -
+	176	2
-	0	78

Precision

1.0

Recall

0.9887640449438202

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	176	2	0
-	0	0	78

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	80
1	176

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

63.0ms	412×	1	valid
28.0ms	90×	2	valid
1.0ms	10×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 23.0ms (32.2% of total)

adjust: 20.0ms (28% of total)

ival-sqrt: 15.0ms (21% of total)

ival-sub: 7.0ms (9.8% of total)

ival-add: 5.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms 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

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.2%	(-.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)

simplify3.0ms (0%)

Memory

5.2MiB live, 5.2MiB 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))

localize53.0ms (0.7%)

Memory

-17.7MiB live, 72.7MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 x)
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	0.3046875	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	38.8703418467249	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

28.0ms	206×	1	valid
12.0ms	45×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 8.0ms (28.9% of total)

ival-sqrt: 8.0ms (28.9% of total)

adjust: 7.0ms (25.3% of total)

ival-add: 2.0ms (7.2% of total)

ival-sub: 2.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB 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))))
1.0ms	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))))

1.0ms

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))))

simplify181.0ms (2.3%)

Memory

23.2MiB live, 117.0MiB allocated; 19ms 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))))

rewrite133.0ms (1.7%)

Memory

-7.3MiB live, 124.2MiB allocated; 14ms 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)))

eval47.0ms (0.6%)

Memory: -7.0MiB live, 52.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 466 to 776 computations (85.8% saved)

prune11.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	276	9	285
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	10	286

Accuracy

87.2%

Counts

286 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.3%	(/.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))))
	37.1%	(/.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)))))
	41.1%	(/.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)))
▶	31.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
✓	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	85.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.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)))
▶	85.9%	#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)))
	84.9%	#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)))
	64.7%	#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 469 to 310 computations (33.9% saved)

simplify116.0ms (1.5%)

Memory

-0.9MiB live, 90.0MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(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))
cost-diff	0	(/.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))
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.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)))
cost-diff	1	(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))))
cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
cost-diff	3	(/.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))))
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	47	476
0	83	476
1	135	471
2	366	471
3	1674	468
0	8228	468

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

localize294.0ms (3.7%)

Memory

-6.6MiB live, 282.0MiB allocated; 37ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.38692415173708516	(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.7656383230695599	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.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)))
accuracy	8.307879586034819	(/.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))
accuracy	20.783446780525313	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	38.8703418467249	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.27572250976844204	(/.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))))
accuracy	0.32650375976844204	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
accuracy	59.530429324709885	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	60.359349990203526	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	8.309500826266376	(/.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	10.525419623366357	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))
accuracy	16.477173852575106	(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	20.783446780525313	(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))

Samples

172.0ms	206×	1	valid
75.0ms	45×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 436 to 47 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 51.0ms (24.6% of total)

adjust: 46.0ms (22.2% of total)

ival-add: 33.0ms (15.9% of total)

ival-pow: 25.0ms (12.1% of total)

ival-div: 24.0ms (11.6% of total)

ival-sqrt: 14.0ms (6.8% of total)

ival-sub: 9.0ms (4.3% of total)

ival-neg: 4.0ms (1.9% of total)

exact: 1.0ms (0.5% of total)

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

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

series23.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Counts

24 → 133

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

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	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)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (pow (+ x 1) -1/2)) (/ 1 (sqrt x)) (sqrt x) (pow (+ x 1) -1/2) (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (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))) (+ x 1) (/ 1 (pow x 3)))
6.0ms	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)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (pow (+ x 1) -1/2)) (/ 1 (sqrt x)) (sqrt x) (pow (+ x 1) -1/2) (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (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))) (+ x 1) (/ 1 (pow x 3)))
5.0ms	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)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (/ 1 (sqrt x)) (pow (+ x 1) -1/2)) (/ 1 (sqrt x)) (sqrt x) (pow (+ x 1) -1/2) (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1/2 (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (sqrt x))) (* -1/2 (sqrt (/ 1 x)))) (* x x)) (+ (* (+ (* 1/4 x) 1) (sqrt (/ 1 (pow x 3)))) (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))) (+ x 1) (/ 1 (pow x 3)))

Time

Variable

Point

Expression

9.0ms

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

6.0ms

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

5.0ms

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

simplify163.0ms (2.1%)

Memory

4.4MiB live, 138.6MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	3294
1	1817	2579
2	7874	2571
0	8043	2420

Stop Event

1×	iter limit
1×	node limit

Counts

133 → 132

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

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

rewrite264.0ms (3.4%)

Memory

0.5MiB live, 184.1MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	362
0	83	335
1	325	286
2	2505	275
0	10039	275

Stop Event

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

Counts

24 → 836

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

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)))
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(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -5/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) (pow.f64 x #s(literal -5 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -5/4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -5 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -5 binary64))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -5/2 binary64))) (pow.f64 x #s(literal 5/4 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(fabs.f64 (pow.f64 x #s(literal -5/2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 5/2 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -5 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 x))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -3 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal -3 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -6 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -6 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -3 binary64) (log.f64 x))))
(exp.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)))

eval301.0ms (3.8%)

Memory: -20.8MiB live, 288.2MiB allocated; 171ms collecting garbage
Compiler: Compiled 58 272 to 6 395 computations (89% saved)

prune37.0ms (0.5%)

Memory

7.3MiB live, 100.1MiB allocated; 5ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 359	16	1 375
Fresh	4	0	4
Picked	4	1	5
Done	0	1	1
Total	1 367	18	1 385

Accuracy

100.0%

Counts

1 385 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	39.4%	(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (fma.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
	41.1%	(/.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 (+.f64 x #s(literal 1 binary64)) x))))
▶	39.2%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
	98.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	98.7%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	97.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	98.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
	97.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
	50.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 x (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 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 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)))) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 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)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.f64 x x)))
	85.8%	#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)))
	84.8%	#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)))
	85.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶	98.5%	#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 1 153 to 734 computations (36.3% saved)

simplify129.0ms (1.6%)

Memory

-6.5MiB live, 139.4MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
cost-diff	0	(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x)
cost-diff	0	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
cost-diff	1	(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64))))
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 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff	0	(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #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	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
cost-diff	0	(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	462
0	110	462
1	180	460
2	400	460
3	1412	458
4	6217	458
0	8649	452

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

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

localize369.0ms (4.7%)

Memory

8.7MiB live, 198.4MiB allocated; 16ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
accuracy	0.224941259768442	(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64))))
accuracy	0.265625	(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x)
accuracy	0.7656383230695599	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
accuracy	0.16796875	(/.f64 (*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
accuracy	0.29296875	(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	0.7286194231419906	#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	0.7674043342412813	#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	0.00390625	(/.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.0078125	(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	0.27572250976844204	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	58.51967814879101	(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.29296875	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy	60.359349990203526	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
accuracy	0.0078125	(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)
accuracy	0.015625	(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)
accuracy	0.27572250976844204	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.5720171985668736	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x))

Samples

187.0ms	103×	2	valid
135.0ms	148×	1	valid
2.0ms	5×	0	valid

Compiler

Compiled 345 to 68 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

adjust: 105.0ms (37.4% of total)

ival-div: 63.0ms (22.4% of total)

ival-mult: 45.0ms (16% of total)

ival-sqrt: 19.0ms (6.8% of total)

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

ival-pow: 15.0ms (5.3% of total)

ival-sub: 12.0ms (4.3% of total)

ival-neg: 4.0ms (1.4% of total)

exact: 1.0ms (0.4% of total)

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

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

series37.0ms (0.5%)

Memory

-30.8MiB live, 13.8MiB allocated; 7ms collecting garbage

Counts

22 → 129

Calls

Call 1

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

26.0ms

-inf

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

6.0ms

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

4.0ms

inf

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

simplify164.0ms (2.1%)

Memory

-3.1MiB live, 92.1MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	550	2678
1	1787	2108
2	7563	2106
0	8845	1984

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 129

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

rewrite173.0ms (2.2%)

Memory

24.7MiB live, 173.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	380
0	110	372
1	434	329
2	3381	319
0	8374	310

Stop Event

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

Counts

22 → 351

Calls

Call 1

Inputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))
#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)
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 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 (.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))))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x)
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 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 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
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#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)) x))
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#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))))
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(/.f64 (-.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)) (-.f64 x (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) x) (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 x)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 x (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -9/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)) (-.f64 x (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.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)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/4 binary64)) x (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)) (sqrt.f64 x))
(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (.f64 (pow.f64 x #s(literal -3/4 binary64)) (.f64 #s(literal 1/4 binary64) x)) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (*.f64 (pow.f64 x #s(literal -3/4 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -3/2 binary64)) (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)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/4 binary64) x) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) (pow.f64 x #s(literal -3/2 binary64)) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(fma.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 x))) (/.f64 x (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (pow.f64 x #s(literal -3/2 binary64))))
(-.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(+.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(+.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)) (-.f64 x (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)) (-.f64 x (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))))
(+.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x)))
(+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64) (pow.f64 x #s(literal -3/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) (/.f64 #s(literal -1/8 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) (/.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) x) x (.f64 x #s(literal -1/8 binary64))) (.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x))
(/.f64 (+.f64 #s(literal -1/512 binary64) (pow.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal -1/128 binary64) x)) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x))) x))
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) x)) (neg.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (/.f64 #s(literal 1/16 binary64) x) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) x) x) (/.f64 #s(literal -1/8 binary64) 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) (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 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)))
(fabs.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64)))

eval66.0ms (0.8%)

Memory: -19.2MiB live, 114.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 17 705 to 2 272 computations (87.2% saved)

prune35.0ms (0.4%)

Memory

31.3MiB live, 80.2MiB allocated; 14ms collecting garbage

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	485	12	497
Fresh	3	8	11
Picked	2	3	5
Done	0	2	2
Total	490	25	515

Accuracy

100.0%

Counts

515 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	41.1%	(/.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 (+.f64 x #s(literal 1 binary64)) x))))
✓	39.2%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
	38.0%	(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	36.2%	(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	99.5%	(/.f64 (expm1.f64 (.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) (.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
▶	99.6%	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	98.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	98.7%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
▶	97.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) x (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(approx (/ (+ (* (pow x -3/2) (+ (* 1/4 x) 1)) (sqrt x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
	97.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
▶	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
▶	85.8%	#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)))
	84.8%	#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)))
	85.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
	37.4%	#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)))
	98.5%	#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 (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x)))
	98.5%	#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)))
	97.5%	#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 1 469 to 1 002 computations (31.8% saved)

simplify111.0ms (1.4%)

Memory

-1.3MiB live, 87.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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)))))) (.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 #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))
cost-diff	0	#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)))
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	0	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
cost-diff	1	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x))
cost-diff	0	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
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	(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
cost-diff	0	(expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	454
0	102	454
1	157	452
2	284	452
3	795	452
4	2404	452
0	8154	437

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.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)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) 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 #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))
#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 (.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 x x)

Outputs
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(expm1.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))
(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1/2 binary64)
(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)
#s(literal 1 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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)
#s(literal 1 binary64)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)
x
#s(literal 1 binary64)
(sqrt.f64 x)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(sqrt.f64 (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x 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 (.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)))
#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) x) (-.f64 (.f64 (/.f64 #s(literal 3/4 binary64) x) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) (.f64 x x)))
(/.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 #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) x) (-.f64 (.f64 (/.f64 #s(literal 3/4 binary64) x) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) (.f64 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)))))) (.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)))))) (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) x) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))))
(.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 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))
(.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 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) #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 (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))
(/.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 (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3/4 binary64))
#s(literal 3/4 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 x x)

localize268.0ms (3.4%)

Memory

-3.5MiB live, 227.8MiB allocated; 34ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.29296875	(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy	0.7286194231419906	#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)))
accuracy	0.765754921664758	#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))
accuracy	8.309500826266376	(/.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))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy	0.171875	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy	27.571766552921478	(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy	59.530429324709885	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
accuracy	0.0078125	(/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)
accuracy	0.27572250976844204	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.5720171985668736	#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x))
accuracy	1.3758813732289787	#s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.26953125	(/.f64 (sqrt.f64 x) x)
accuracy	60.359349990203526	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
accuracy	0.0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.01171875	(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
accuracy	0.0234375	(expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
accuracy	0.27572250976844204	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Samples

165.0ms	206×	1	valid
47.0ms	45×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 335 to 63 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-div: 48.0ms (26.6% of total)

adjust: 46.0ms (25.5% of total)

ival-mult: 24.0ms (13.3% of total)

ival-sqrt: 16.0ms (8.9% of total)

ival-add: 13.0ms (7.2% of total)

ival-pow: 11.0ms (6.1% of total)

ival-sub: 8.0ms (4.4% of total)

ival-neg: 6.0ms (3.3% of total)

ival-expm1: 3.0ms (1.7% of total)

ival-log1p: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series12.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

21 → 149

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.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)))
#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 #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))
#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 (.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)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

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

Calls

3 calls:

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- (exp (* (log (+ 1 (pow x -1))) 1/2)) 1) (sqrt (+ x 1))) (- (exp (* (log (+ 1 (pow x -1))) 1/2)) 1) (* (log (+ 1 (pow x -1))) 1/2) (log (+ 1 (pow x -1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) x) (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) (* (+ x 1) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (/ 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 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (sqrt (* (+ x 1) x)) (* 3/4 (sqrt (/ 1 x))))

3.0ms

((/ (- (exp (* (log (+ 1 (pow x -1))) 1/2)) 1) (sqrt (+ x 1))) (- (exp (* (log (+ 1 (pow x -1))) 1/2)) 1) (* (log (+ 1 (pow x -1))) 1/2) (log (+ 1 (pow x -1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) x) (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) (* (+ x 1) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (/ 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 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (sqrt (* (+ x 1) x)) (* 3/4 (sqrt (/ 1 x))))

2.0ms

inf

((/ (- (exp (* (log (+ 1 (pow x -1))) 1/2)) 1) (sqrt (+ x 1))) (- (exp (* (log (+ 1 (pow x -1))) 1/2)) 1) (* (log (+ 1 (pow x -1))) 1/2) (log (+ 1 (pow x -1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (sqrt x) (/ (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (sqrt (+ x 1))) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/ (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) x) (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) (* (+ x 1) x) (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (/ 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 (- (/ (* 3/4 (sqrt (/ 1 x))) x) (sqrt (/ 1 x)))) x) (sqrt (* (+ x 1) x)) (* 3/4 (sqrt (/ 1 x))))

simplify135.0ms (1.7%)

Memory

8.5MiB live, 103.3MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	3137
1	2174	2556
0	8675	2406

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 148

Calls

Call 1

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

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

rewrite177.0ms (2.3%)

Memory

-9.6MiB live, 131.1MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	372
0	102	360
1	382	320
2	2797	312
0	8721	297

Stop Event

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

Counts

21 → 418

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.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)))
#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 #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))
#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 (.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)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 #s(literal 3/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

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

eval80.0ms (1%)

Memory: 8.9MiB live, 99.1MiB allocated; 12ms collecting garbage
Compiler: Compiled 18 225 to 2 301 computations (87.4% saved)

prune34.0ms (0.4%)

Memory

12.3MiB live, 58.8MiB allocated; 2ms collecting garbage

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	656	9	665
Fresh	3	12	15
Picked	3	2	5
Done	0	5	5
Total	662	28	690

Accuracy

100.0%

Counts

690 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.1%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
	7.2%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	41.1%	(/.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 (+.f64 x #s(literal 1 binary64)) x))))
✓	39.2%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	38.0%	(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	49.1%	(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (/.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
	98.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	98.7%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	97.3%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
✓	97.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
	38.3%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
	97.5%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (*.f64 (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))) x)))
	8.0%	(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
✓	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) x (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(approx (/ (+ (* (pow x -3/2) (+ (* 1/4 x) 1)) (sqrt x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
	97.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
✓	5.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	85.8%	#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 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.f64 x x)))
	84.8%	#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)))
	85.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
	37.4%	#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)))
	98.5%	#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)))
	97.5%	#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 2 363 to 880 computations (62.8% saved)

regimes26.0ms (0.3%)

Memory

-25.5MiB live, 25.4MiB allocated; 9ms collecting garbage

Counts

47 → 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#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)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 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 #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 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #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 (fma.f64 x x x)))
#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)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) 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))))
#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)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 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 (.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)))) (/.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 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.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 (.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)))
#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(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(approx (/ (+ (* (pow x -3/2) (+ (* 1/4 x) 1)) (sqrt x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
(/.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 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (*.f64 (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))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.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)))
#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 (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
#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 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) x (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64)))) (/.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (/.f64 (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 (expm1.f64 (.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64))) (.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal -1/2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3/2 binary64))) (fma.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (+.f64 (cos.f64 (atan.f64 (sqrt.f64 x))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (-.f64 x (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 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 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)))) (.f64 (pow.f64 x #s(literal -5/2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 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)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (*.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 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Calls

2 calls:

12.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
12.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

40 → 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#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)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 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 #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 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #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 (fma.f64 x x x)))
#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)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (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)) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) 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))))
#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)))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 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 (.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)))) (/.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 x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (*.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 (.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)))
#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(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(approx (/ (+ (* (pow x -3/2) (+ (* 1/4 x) 1)) (sqrt x)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
(/.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 (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (*.f64 (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))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.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)))
#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 (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))))
#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)))

Outputs

(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Calls

2 calls:

10.0ms	x
7.0ms	(-.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)

regimes10.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#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)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 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 #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 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #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 (fma.f64 x x x)))
#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)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

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

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
98.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-36.6MiB live, 9.5MiB allocated; 2ms collecting garbage

Counts

13 → 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#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)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 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 #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 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

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

Calls

2 calls:

6.0ms	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
97.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

8 → 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#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	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
84.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
84.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))

Outputs

(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))

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
38.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
38.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(approx (sqrt (/ (+ x 1) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.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
37.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
37.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

4 → 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))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))

Outputs
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))

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
8.0%	1	`x`
8.0%	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)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB 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:

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
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)))))`
5.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify61.0ms (0.8%)

Memory

-24.4MiB live, 21.9MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	85	238
1	115	233
2	194	233
3	596	233
4	1922	233
5	5130	232
6	7441	232

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#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)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))

Outputs
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#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)))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 x (*.f64 x x))))
(/.f64 #s(approx (/ (- (sqrt (+ x 1)) (sqrt x)) (sqrt x)) (/.f64 #s(approx (+ (/ (+ (/ 1/16 x) -1/8) x) 1/2) #s(literal 1/2 binary64)) x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
#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))))

derivations1.5s (19.3%)

Memory

-85.8MiB live, 553.8MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	457
1	333	395
2	1237	369
3	6312	369
0	8119	348
0	657	3137
1	2174	2556
0	8675	2406
0	8	23
0	14	23
1	59	19
2	416	19
3	5679	17
0	8791	17
0	541	3294
1	1817	2579
2	7874	2571
0	8043	2420
0	47	362
0	83	335
1	325	286
2	2505	275
0	10039	275
0	76	380
0	110	372
1	434	329
2	3381	319
0	8374	310
0	550	2678
1	1787	2108
2	7563	2106
0	8845	1984

Stop Event

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

Compiler

Compiled 238 to 88 computations (63% saved)

preprocess67.0ms (0.9%)

Memory: -3.6MiB live, 83.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 516 to 206 computations (60.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze30.0ms (0.4%)

sample2.5s (31.8%)

explain155.0ms (2%)

preprocess12.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize53.0ms (0.7%)

series5.0ms (0.1%)

simplify181.0ms (2.3%)

rewrite133.0ms (1.7%)

eval47.0ms (0.6%)

prune11.0ms (0.1%)

simplify116.0ms (1.5%)

localize294.0ms (3.7%)

series23.0ms (0.3%)

simplify163.0ms (2.1%)

rewrite264.0ms (3.4%)

eval301.0ms (3.8%)

prune37.0ms (0.5%)

simplify129.0ms (1.6%)

localize369.0ms (4.7%)

series37.0ms (0.5%)

simplify164.0ms (2.1%)

rewrite173.0ms (2.2%)

eval66.0ms (0.8%)

prune35.0ms (0.4%)

simplify111.0ms (1.4%)

localize268.0ms (3.4%)

series12.0ms (0.1%)

simplify135.0ms (1.7%)

rewrite177.0ms (2.3%)

eval80.0ms (1%)

prune34.0ms (0.4%)

regimes26.0ms (0.3%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify61.0ms (0.8%)

derivations1.5s (19.3%)

preprocess67.0ms (0.9%)

end0.0ms (0%)

Profiling