Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.1s (20.3%)

Memory

-23.4MiB live, 872.9MiB allocated; 371ms collecting garbage

Samples

724.0ms	8 252×	0	valid
1.0ms	4×	2	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 391.0ms

ival-add: 193.0ms (49.3% of total)

ival-sqrt: 130.0ms (33.2% of total)

ival-div: 53.0ms (13.5% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

adjust: 3.0ms (0.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain70.0ms (1.3%)

Memory

24.7MiB live, 118.8MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
-	-	`#s(literal 1 binary64)`
-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 5.0ms (38.5% of total)

ival-div: 3.0ms (23.1% of total)

ival-sqrt: 3.0ms (23.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess268.0ms (4.9%)

Memory

22.8MiB live, 246.7MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	24	27
2	34	27
3	60	27
4	138	27
5	597	24
6	5534	24
0	6	8
0	10	8
1	14	8
2	17	8
3	31	8
4	73	8
5	324	8
6	3077	8
7	6949	8
0	8787	8

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% 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

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify212.0ms (3.9%)

Memory

4.9MiB live, 189.1MiB allocated; 92ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
cost-diff	0	(/.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	6	23
0	10	23
1	14	23
2	17	23
3	31	23
4	73	23
5	324	23
6	3077	23
7	6949	23
0	8787	23

Stop Event

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

Calls

Call 1

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

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

localize22.0ms (0.4%)

Memory

-4.1MiB live, 43.3MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
accuracy	0.18359375	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

12.0ms

256×

valid

Compiler

Compiled 25 to 8 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.7% of total)

ival-div: 2.0ms (31.1% of total)

ival-sqrt: 2.0ms (31.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Counts

4 → 40

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
0.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

0.0ms

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

simplify440.0ms (8.1%)

Memory

-14.0MiB live, 234.3MiB allocated; 316ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	852
1	591	747
2	2467	715
0	8608	674

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* 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))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

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

rewrite54.0ms (1%)

Memory

-26.4MiB live, 77.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	21
0	10	21
1	43	21
0	308	21

Stop Event

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

Counts

4 → 47

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.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 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.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)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.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))))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 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 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.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 (fma.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)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval9.0ms (0.2%)

Memory: 20.6MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 378 to 356 computations (74.2% saved)

prune9.0ms (0.2%)

Memory

-30.6MiB live, 16.1MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	10	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Accuracy

100.0%

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	38.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
▶	66.6%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
	36.2%	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	88.8%	(*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
	66.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
▶	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
▶	65.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
	34.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 308 to 220 computations (28.6% saved)

simplify170.0ms (3.1%)

Memory

12.6MiB live, 153.3MiB allocated; 14ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	199
0	51	199
1	75	193
2	151	193
3	426	193
4	1751	193
5	7827	193
0	8001	193

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.4%)

Memory

11.4MiB live, 146.2MiB allocated; 12ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
accuracy	0.18359375	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
accuracy	21.68701653687694	#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
accuracy	0.02734375	(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	20.85006191816054	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
accuracy	0.0	(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
accuracy	21.888542616522074	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	20.889546589706068	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.01171875	(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))
accuracy	0.01171875	(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.109375	(*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	6.9965696928747025	(/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 174 to 32 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 10.0ms (27.6% of total)

ival-mult: 10.0ms (27.6% of total)

ival-pow: 6.0ms (16.6% of total)

ival-div: 3.0ms (8.3% of total)

ival-sub: 3.0ms (8.3% of total)

ival-sqrt: 3.0ms (8.3% of total)

exact: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

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

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

series15.0ms (0.3%)

Memory

29.4MiB live, 29.4MiB allocated; 0ms collecting garbage

Counts

18 → 123

Calls

Call 1

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

Outputs
#s(approx (+ 1 (- x -1)) #s(hole binary64 2))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (+ 2 x)))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 2))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 1))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (+ 1 (- x -1)) #s(hole binary64 x))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x)))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x)))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((+ 1 (- x -1)) (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) (/ x (+ (pow (- x -1) 3/2) 1)) (+ (pow (- x -1) 3/2) 1) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2) (- (+ 1 (- x -1)) (sqrt (- x -1))) (pow (- x -1) 3/2))
5.0ms	x	@	inf	((+ 1 (- x -1)) (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) (/ x (+ (pow (- x -1) 3/2) 1)) (+ (pow (- x -1) 3/2) 1) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2) (- (+ 1 (- x -1)) (sqrt (- x -1))) (pow (- x -1) 3/2))
2.0ms	x	@	0	((+ 1 (- x -1)) (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) (/ x (+ (pow (- x -1) 3/2) 1)) (+ (pow (- x -1) 3/2) 1) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) (+ (* (+ (* 1/16 x) -1/8) x) 1/2) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2) (- (+ 1 (- x -1)) (sqrt (- x -1))) (pow (- x -1) 3/2))

Time

Variable

Point

Expression

6.0ms

-inf

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

5.0ms

inf

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

2.0ms

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

simplify221.0ms (4.1%)

Memory

4.6MiB live, 305.5MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	3121
1	1585	2812
2	6694	2807
0	8825	2628

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 123

Calls

Call 1

Inputs
#s(approx (+ 1 (- x -1)) #s(hole binary64 2))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (+ 2 x)))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 2))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 1))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (+ 1 (- x -1)) #s(hole binary64 x))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x)))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x)))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (+ (pow (- x -1) 3/2) 1)) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (/ x (+ (pow (- x -1) 3/2) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (- x -1) 3/2) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (+ (* 1/16 x) -1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (+ (* 1/16 x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (+ 1 (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (- x -1) 3/2) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))

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

rewrite194.0ms (3.6%)

Memory

8.9MiB live, 159.5MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	51	171
1	208	155
0	1701	155

Stop Event

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

Counts

18 → 226

Calls

Call 1

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

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

eval54.0ms (1%)

Memory: -23.2MiB live, 124.5MiB allocated; 24ms collecting garbage
Compiler: Compiled 9 706 to 1 445 computations (85.1% saved)

prune12.0ms (0.2%)

Memory

36.9MiB live, 36.9MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	5	5
Picked	2	3	5
Done	0	1	1
Total	358	11	369

Accuracy

100.0%

Counts

369 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	38.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
	36.2%	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	88.7%	(.f64 (/.f64 x (.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
▶	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	66.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	65.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	34.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 287 to 195 computations (32.1% saved)

simplify178.0ms (3.3%)

Memory

-27.0MiB live, 207.5MiB allocated; 21ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
cost-diff	0	(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)
cost-diff	0	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
cost-diff	2	(fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
cost-diff	0	(*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff	0	(/.f64 x (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
cost-diff	2	(+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
cost-diff	18	(.f64 (/.f64 x (.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
0	61	239
1	99	237
2	222	219
3	731	219
4	6350	219
0	8852	217

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 x (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
x
(*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -2 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
#s(literal 1/16 binary64)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
x
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)

localize178.0ms (3.3%)

Memory

23.7MiB live, 169.0MiB allocated; 62ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
accuracy	21.563654242577496	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x)
accuracy	0.01953125	(fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))
accuracy	20.73220285242872	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
accuracy	0.0	(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	20.340660684049475	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 x)
accuracy	19.59699045216276	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy	0.03125	(*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	0.10546875	(.f64 (/.f64 x (.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	6.9887571928747025	(/.f64 x (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))

Samples

52.0ms	89×	0	invalid
49.0ms	156×	0	valid
4.0ms	7×	1	valid
3.0ms	4×	2	valid

Compiler

Compiled 227 to 39 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 14.0ms (33.1% of total)

ival-add: 9.0ms (21.3% of total)

ival-sub: 7.0ms (16.5% of total)

ival-sqrt: 5.0ms (11.8% of total)

adjust: 3.0ms (7.1% of total)

ival-div: 3.0ms (7.1% of total)

exact: 1.0ms (2.4% of total)

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

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

series23.0ms (0.4%)

Memory

-4.0MiB live, 43.0MiB allocated; 10ms collecting garbage

Counts

17 → 105

Calls

Call 1

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

Outputs
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (- x -1)) #s(hole binary64 2))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 2))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* -1/8 x)))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* x (- (* 1/16 x) 1/8))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (- x -1)) #s(hole binary64 x))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ (* (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x)))))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt x) (/ (* (+ 3/2 (* 1/2 (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2))))) (- 1 (sqrt (/ 1 x))))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))) (pow x 3))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))) (+ (* 3/2 (/ 1 (* x (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))))) x)))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (/ 1 x))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 (pow x 5))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ -1 (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (* (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ (+ (sqrt x) (* -1/2 (sqrt x))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (+ (* -1 (/ (+ (sqrt x) (* -1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))

Calls

3 calls:

Time

Variable

Point

Expression

12.0ms

inf

((* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) (+ 1 (- x -1)) (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (* 1/2 x))

6.0ms

-inf

((* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) (+ 1 (- x -1)) (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (* 1/2 x))

1.0ms

((* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) (+ 1 (- x -1)) (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* 1/16 x) -1/8) x) (+ (* 1/16 x) -1/8) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (* 1/2 x))

simplify172.0ms (3.2%)

Memory

3.5MiB live, 236.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	507	4019
1	1456	3452
2	6914	3379
0	8014	3180

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 105

Calls

Call 1

Inputs
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (- x -1)) #s(hole binary64 2))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (+ 2 x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 2))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* -1/8 x)))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* x (- (* 1/16 x) 1/8))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 -1/8))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (- x -1)) #s(hole binary64 x))
#s(approx (+ 1 (- x -1)) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ (* (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x)))))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt x) (/ (* (+ 3/2 (* 1/2 (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2))))) (- 1 (sqrt (/ 1 x))))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))) (pow x 3))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))) (+ (* 3/2 (/ 1 (* x (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))))) x)))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (/ 1 x))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 (pow x 5))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (* (+ (* 1/16 x) -1/8) x) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (+ 1 (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ -1 (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (* (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ (+ (sqrt x) (* -1/2 (sqrt x))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (+ (* -1 (/ (+ (sqrt x) (* -1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (+ (* (* (+ (* 1/16 x) -1/8) x) x) (* 1/2 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* 1/16 x) -1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))

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

rewrite168.0ms (3.1%)

Memory

-20.6MiB live, 79.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	189
0	61	187
1	265	149
0	2327	147

Stop Event

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

Counts

17 → 223

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(*.f64 x (/.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x)) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (neg.f64 x)) (.f64 (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) x) (.f64 (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))) (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))) (neg.f64 x)) (.f64 (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64))) x) (.f64 (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) x) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 x x (fma.f64 #s(literal -2 binary64) x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 x #s(literal -2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 x (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
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(fma.f64 (.f64 #s(literal 1/16 binary64) x) x (.f64 #s(literal -1/8 binary64) x))
(fma.f64 #s(literal -1/8 binary64) x (.f64 (.f64 #s(literal 1/16 binary64) x) x))
(fma.f64 x (.f64 #s(literal 1/16 binary64) x) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 x #s(literal -1/8 binary64) (.f64 x (.f64 #s(literal 1/16 binary64) x)))
(+.f64 (.f64 (.f64 #s(literal 1/16 binary64) x) x) (*.f64 #s(literal -1/8 binary64) x))
(+.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 (*.f64 #s(literal 1/16 binary64) x) x))
(+.f64 (.f64 x (.f64 #s(literal 1/16 binary64) x)) (*.f64 x #s(literal -1/8 binary64)))
(+.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (*.f64 #s(literal 1/16 binary64) x)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (.f64 #s(literal 1/256 binary64) (.f64 x x))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 x x) #s(literal -1/64 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 x #s(literal -1/128 binary64))))))
(/.f64 (fma.f64 #s(literal 1/256 binary64) (.f64 x x) #s(literal -1/64 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 #s(literal 1/256 binary64) (.f64 x x)) (*.f64 x #s(literal -1/128 binary64)))))
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/256 binary64) (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 x #s(literal -1/128 binary64)))))
(fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))
(fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/256 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.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 -1/8 binary64) (*.f64 (neg.f64 x) #s(literal 1/16 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/256 binary64) (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 x #s(literal -1/128 binary64))))) (/.f64 #s(literal -1/512 binary64) (fma.f64 #s(literal 1/256 binary64) (.f64 x x) (-.f64 #s(literal 1/64 binary64) (*.f64 x #s(literal -1/128 binary64))))))
(+.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))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)))
(fma.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64)))
(/.f64 (+.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))))
(-.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x))
(-.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/8 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (pow.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1/512 binary64) (fma.f64 #s(literal -1/8 binary64) (-.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

eval41.0ms (0.8%)

Memory: 43.4MiB live, 85.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 10 845 to 1 341 computations (87.6% saved)

prune12.0ms (0.2%)

Memory

-12.6MiB live, 31.5MiB allocated; 8ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	0	2	2
Picked	1	4	5
Done	0	4	4
Total	328	11	339

Accuracy

100.0%

Counts

339 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	38.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
▶	36.2%	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	88.7%	(.f64 (/.f64 x (.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
✓	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	66.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	65.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	34.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 168 to 114 computations (32.1% saved)

simplify209.0ms (3.8%)

Memory

13.5MiB live, 205.1MiB allocated; 44ms collecting garbage

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	158
0	36	158
1	53	158
2	80	136
3	137	131
4	377	131
5	3167	131
0	8054	131

Stop Event

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

Calls

Call 1

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

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

localize226.0ms (4.2%)

Memory

-5.7MiB live, 240.1MiB allocated; 37ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 #s(approx (+ x 1) x))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
accuracy	0.18359375	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
accuracy	41.435636881442925	#s(approx (+ x 1) x)
accuracy	0.0	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	0.0	(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
accuracy	38.97535604417212	(-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
accuracy	39.00623120323426	(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.01171875	(-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
accuracy	0.03125	(*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy	0.109375	(.f64 (/.f64 x (.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
accuracy	6.9965696928747025	(/.f64 x (*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))

Samples

120.0ms	67×	2	valid
50.0ms	100×	1	valid
12.0ms	89×	0	valid

Compiler

Compiled 152 to 22 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

adjust: 38.0ms (33.9% of total)

ival-sqrt: 32.0ms (28.5% of total)

ival-mult: 18.0ms (16% of total)

ival-sub: 13.0ms (11.6% of total)

ival-div: 7.0ms (6.2% of total)

ival-add: 3.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.7%)

Memory

-37.6MiB live, 21.3MiB allocated; 8ms collecting garbage

Counts

14 → 130

Calls

Call 1

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

Outputs
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 2))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- 1 (- x -1)) #s(hole binary64 (* -1 x)))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (- 1 (- x -1))) #s(hole binary64 -1))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (pow x 2))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ (* (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x)))))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt x) (/ (* (+ 3/2 (* 1/2 (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2))))) (- 1 (sqrt (/ 1 x))))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))) (pow x 3))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))) (+ (* 3/2 (/ 1 (* x (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))))) x)))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (/ 1 x))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 (pow x 5))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* 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))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* 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))))))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ -1 (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (* (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ (+ (sqrt x) (* -1/2 (sqrt x))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (+ (* -1 (/ (+ (sqrt x) (* -1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

Calls

3 calls:

Time

Variable

Point

Expression

32.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify216.0ms (4%)

Memory

27.6MiB live, 256.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	4695
1	1780	4003
0	8311	3860

Stop Event

1×	iter limit
1×	node limit

Counts

130 → 130

Calls

Call 1

Inputs
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 2))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 1))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- 1 (- x -1)) #s(hole binary64 (* -1 x)))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (- 1 (- x -1))) #s(hole binary64 -1))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (sqrt (- x -1)) #s(hole binary64 1))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
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#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ (* (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (/ x (pow (- 1 (sqrt (/ 1 x))) 2))) (* (sqrt x) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x)))))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt x) (/ (* (+ 3/2 (* 1/2 (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2))))) (- 1 (sqrt (/ 1 x))))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))) (pow x 3))) (+ (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x))))) (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (* (- (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 2 (* (sqrt x) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ x (pow (- 1 (sqrt (/ 1 x))) 2)))) (- (+ 1 (* 2 (sqrt (/ 1 x)))) (sqrt (/ 1 x)))) (- 1 (sqrt (/ 1 x))))) (+ (* 3/2 (/ 1 (* x (pow (- 1 (sqrt (/ 1 x))) 2)))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))))))) x)))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (/ 1 x))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 (pow x 5))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (sqrt (/ 1 x))))) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (- 1 (sqrt (/ 1 x)))) (+ (/ 1 x) (/ 3/2 (pow x 2)))))))) (sqrt (/ 1 (pow x 3)))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* 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))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* 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))))))))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (* (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) (- (- x -2) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* 2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ -1 (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (/ x (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ (* (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ (+ (sqrt x) (* -1/2 (sqrt x))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (+ (* -1 (* (sqrt (pow x 3)) (/ (pow (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (/ (* x (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ (* x (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) x)) (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (* (- (- x -2) (sqrt (- x -1))) (- (sqrt (- x -1)) -1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ 3/2 (+ (* -1 (/ (+ (sqrt x) (* -1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (- x -2) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (- 1 (- x -1))) (- 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))

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

rewrite69.0ms (1.3%)

Memory

-8.8MiB live, 82.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	134
0	36	134
1	146	134
0	1217	134

Stop Event

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

Counts

14 → 189

Calls

Call 1

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

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

eval101.0ms (1.9%)

Memory: 0.4MiB live, 145.4MiB allocated; 19ms collecting garbage
Compiler: Compiled 14 020 to 1 661 computations (88.2% saved)

prune49.0ms (0.9%)

Memory

-1.6MiB live, 45.5MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	455	2	457
Fresh	0	0	0
Picked	3	0	3
Done	0	8	8
Total	458	10	468

Accuracy

100.0%

Counts

468 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.7%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.1%	(*.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x)))
✓	33.5%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	66.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
✓	65.8%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	67.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	34.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 422 to 185 computations (56.2% saved)

regimes102.0ms (1.9%)

Memory

-30.3MiB live, 37.0MiB allocated; 105ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

96.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.8%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes30.0ms (0.6%)

Memory

-38.3MiB live, 15.0MiB allocated; 8ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

28.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.7%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes30.0ms (0.5%)

Memory

-31.6MiB live, 14.8MiB allocated; 3ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

28.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
97.9%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.9%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.4%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
67.4%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
67.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch27.0ms (0.5%)

Memory

-7.0MiB live, 39.1MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.00046906922810425073	0.44948274306654573

Samples

20.0ms

128×

valid

Compiler

Compiled 307 to 250 computations (18.6% saved)

Precisions

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

ival-div: 1.0ms (30.3% of total)

ival-add: 1.0ms (30.3% of total)

ival-sqrt: 1.0ms (30.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.254789791621676e-7	0.00046906922810425073

Samples

6.0ms

128×

valid

Compiler

Compiled 299 to 242 computations (19.1% saved)

Precisions

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

ival-div: 1.0ms (30.8% of total)

ival-add: 1.0ms (30.8% of total)

ival-sqrt: 1.0ms (30.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch35.0ms (0.6%)

Memory

-48.2MiB live, 3.8MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	4.254789791621676e-7	0.00046906922810425073

Compiler

Compiled 283 to 234 computations (17.3% saved)

bsearch10.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.44948274306654573	23.730459642694477

Samples

5.0ms

112×

valid

Compiler

Compiled 228 to 185 computations (18.9% saved)

Precisions

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

ival-div: 1.0ms (37.9% of total)

ival-add: 1.0ms (37.9% of total)

ival-sqrt: 1.0ms (37.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.44948274306654573	23.730459642694477

Compiler

Compiled 207 to 171 computations (17.4% saved)

bsearch2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.44948274306654573	23.730459642694477

Samples

1.0ms

16×

valid

Compiler

Compiled 193 to 157 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.44948274306654573	23.730459642694477

Samples

4.0ms

96×

valid

Compiler

Compiled 172 to 143 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (43.2% of total)

ival-add: 1.0ms (43.2% of total)

ival-sqrt: 1.0ms (43.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify68.0ms (1.2%)

Memory

-23.8MiB live, 68.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	61	263
1	73	263
2	86	263
3	116	263
4	198	263
5	618	257
6	5392	257

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal 2176715800697727/18446744073709551616 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal 2176715800697727/18446744073709551616 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 4150517416584649/4611686018427387904 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal 2176715800697727/18446744073709551616 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x) x (.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal 2176715800697727/18446744073709551616 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) (.f64 #s(approx (/ x (- 1 (- x -1))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 2589569785738035/1125899906842624 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
(if (<=.f64 x #s(literal 4 binary64)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))

derivations407.0ms (7.5%)

Memory

-6.8MiB live, 324.3MiB allocated; 43ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 263 to 61 computations (76.8% saved)

preprocess61.0ms (1.1%)

Memory: 11.5MiB live, 101.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 542 to 134 computations (75.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (20.3%)

explain70.0ms (1.3%)

preprocess268.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify212.0ms (3.9%)

localize22.0ms (0.4%)

series5.0ms (0.1%)

simplify440.0ms (8.1%)

rewrite54.0ms (1%)

eval9.0ms (0.2%)

prune9.0ms (0.2%)

simplify170.0ms (3.1%)

localize75.0ms (1.4%)

series15.0ms (0.3%)

simplify221.0ms (4.1%)

rewrite194.0ms (3.6%)

eval54.0ms (1%)

prune12.0ms (0.2%)

simplify178.0ms (3.3%)

localize178.0ms (3.3%)

series23.0ms (0.4%)

simplify172.0ms (3.2%)

rewrite168.0ms (3.1%)

eval41.0ms (0.8%)

prune12.0ms (0.2%)

simplify209.0ms (3.8%)

localize226.0ms (4.2%)

series38.0ms (0.7%)

simplify216.0ms (4%)

rewrite69.0ms (1.3%)

eval101.0ms (1.9%)

prune49.0ms (0.9%)

regimes102.0ms (1.9%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes30.0ms (0.6%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes30.0ms (0.5%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch27.0ms (0.5%)

bsearch12.0ms (0.2%)

bsearch35.0ms (0.6%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch2.0ms (0%)

bsearch9.0ms (0.2%)

simplify68.0ms (1.2%)

derivations407.0ms (7.5%)

preprocess61.0ms (1.1%)

end0.0ms (0%)

Profiling