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

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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)

sample890.0ms (41%)

Memory

-3.6MiB live, 968.5MiB allocated; 252ms collecting garbage

Samples

524.0ms	8 254×	0	valid
95.0ms	2×	2	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 377.0ms

ival-div!: 155.0ms (41.1% of total)

ival-sqrt: 148.0ms (39.2% of total)

ival-add!: 73.0ms (19.3% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain104.0ms (4.8%)

Memory

5.7MiB live, 184.3MiB allocated; 35ms 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

55.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div!: 24.0ms (55.8% of total)

ival-add!: 14.0ms (32.6% of total)

ival-sqrt: 5.0ms (11.6% of total)

adjust: 0.0ms (0% of total)

preprocess335.0ms (15.4%)

Memory

-13.5MiB live, 232.1MiB allocated; 101ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 8 to 6 computations (25% saved)

series6.0ms (0.3%)

Memory

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

Counts

6 → 41

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
#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 x #s(hole binary64 x))
#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
3.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
0.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

inf

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

0.0ms

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

rewrite105.0ms (4.8%)

Memory

10.9MiB live, 61.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	968
0	215	773
0	1342	741

Stop Event

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

Counts

47 → 57

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

eval36.0ms (1.7%)

Memory: -35.2MiB live, 11.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 042 to 281 computations (73% saved)

prune8.0ms (0.4%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	48	12	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	13	61

Accuracy

100.0%

Counts

61 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	36.1%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
	69.0%	(/.f64 x (+.f64 #s(literal 1 binary64) #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)))))
	31.3%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
▶	69.0%	(/.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))))
▶	70.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
	68.6%	#s(approx (/ x (+ 1 (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))
	69.7%	#s(approx (/ x (+ 1 (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))
▶	68.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
	32.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 386 to 288 computations (25.4% saved)

series11.0ms (0.5%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

23 → 95

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

5.0ms

-inf

((/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) 1 (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))

2.0ms

inf

((/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) 1 (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))

2.0ms

((/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) 1 (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))

rewrite91.0ms (4.2%)

Memory

6.2MiB live, 51.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	2321
0	373	1707
0	2022	1668

Stop Event

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

Counts

118 → 176

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 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 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x))
(-.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)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#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)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 #s(literal -1/8 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal -1/8 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal -1/8 binary64)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 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))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 (neg.f64 x) (neg.f64 #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 #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)))
(/.f64 (-.f64 (.f64 (.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)) #s(literal 4 binary64)) (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.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))) (-.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.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) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.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)) (.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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))
#s(approx (/ x (+ 1 (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 (+ 1 (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)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #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)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(literal 1 binary64))
#s(approx (/ (- (* x x) 1) (- x 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* x x) (*.f64 x x))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.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))
#s(approx (/ x (+ 1 (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 (+ 1 (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 (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) 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(literal 1/2 binary64))
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #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)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* 1/2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 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(literal 2 binary64))
#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) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 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 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* x x) 1) (- x 1)) x)
#s(approx (/ (- (* x x) 1) (- x 1)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (.f64 x x)))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 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 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#s(approx (* (+ (* -1/8 x) 1/2) x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))) x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (- x 1) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))

eval31.0ms (1.4%)

Memory: -3.8MiB live, 44.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 3 851 to 766 computations (80.1% saved)

prune15.0ms (0.7%)

Memory

-19.2MiB live, 27.7MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	191	4	195
Fresh	3	4	7
Picked	0	5	5
Done	0	1	1
Total	194	14	208

Accuracy

100.0%

Counts

208 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	36.1%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x))))
	69.0%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))))
▶	31.3%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
✓	69.0%	(/.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))))
✓	70.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	68.3%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
	31.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	68.6%	#s(approx (/ x (+ 1 (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))
▶	69.7%	#s(approx (/ x (+ 1 (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))
✓	68.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶	32.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 386 to 279 computations (27.7% saved)

series23.0ms (1.1%)

Memory

-2.8MiB live, 42.2MiB allocated; 5ms collecting garbage

Counts

38 → 146

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ 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) (* 1/16 x) 1/16 x 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) (* (* -1/8 x) x) (* -1/8 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) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) 1 (sqrt (/ (- (* x x) 1) (- x 1))) (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (sqrt (pow x -3)) (pow x -3) -3 (* (sqrt (pow x -5)) -1/8) (sqrt (pow x -5)) (pow x -5) -5 (/ 1 (sqrt x)))
5.0ms	x	@	inf	((/ 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) (* 1/16 x) 1/16 x 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) (* (* -1/8 x) x) (* -1/8 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) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) 1 (sqrt (/ (- (* x x) 1) (- x 1))) (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (sqrt (pow x -3)) (pow x -3) -3 (* (sqrt (pow x -5)) -1/8) (sqrt (pow x -5)) (pow x -5) -5 (/ 1 (sqrt x)))
4.0ms	x	@	0	((/ 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) (* 1/16 x) 1/16 x 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) (* (* -1/8 x) x) (* -1/8 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) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) 1 (sqrt (/ (- (* x x) 1) (- x 1))) (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (sqrt (pow x -3)) (pow x -3) -3 (* (sqrt (pow x -5)) -1/8) (sqrt (pow x -5)) (pow x -5) -5 (/ 1 (sqrt x)))

Time

Variable

Point

Expression

12.0ms

-inf

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

5.0ms

inf

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

4.0ms

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

rewrite98.0ms (4.5%)

Memory

40.4MiB live, 133.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	499	3951
0	542	3120
0	2662	3040

Stop Event

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

Counts

184 → 301

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- 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))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (.f64 (-.f64 (*.f64 #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 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(+.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal 1/64 binary64) (.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- 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)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (.f64 (.f64 #s(literal -1/8 binary64) x) x))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (.f64 (.f64 #s(literal -1/8 binary64) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))))
(fma.f64 (.f64 x x) #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/8 binary64) x) x (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (.f64 x x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x (.f64 #s(literal -1/8 binary64) x) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x))
(+.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(.f64 (.f64 #s(literal -1/8 binary64) x) x)
(.f64 #s(literal -1/8 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -1/8 binary64) x))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- 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))
(.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)
(.f64 x (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)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (*.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 (-.f64 (*.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 1/2 binary64) x) (.f64 (.f64 (-.f64 (.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 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 (.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 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (.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)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (-.f64 (.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 #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 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.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 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (-.f64 (.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 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.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)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.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 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (-.f64 (.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 #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 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))))
(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))
(fma.f64 x (-.f64 (*.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 #s(literal 1/2 binary64) (.f64 (neg.f64 x) (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))))
(+.f64 (.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))
(+.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) #s(literal 1/64 binary64)) (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 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (+.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 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(*.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (.f64 (.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 #s(literal 1/16 binary64) x (.f64 x (.f64 #s(literal -5/128 binary64) x)))
(fma.f64 x #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 x #s(literal 1/16 binary64) (.f64 x (.f64 #s(literal -5/128 binary64) x)))
(+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(+.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(/.f64 (-.f64 #s(literal 1/256 binary64) (.f64 (.f64 #s(literal -5/128 binary64) x) (.f64 #s(literal -5/128 binary64) x))) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -5/128 binary64) x) (.f64 #s(literal -5/128 binary64) x)) #s(literal 1/256 binary64)) (-.f64 (.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/256 binary64) (-.f64 (.f64 (.f64 #s(literal -5/128 binary64) x) (.f64 #s(literal -5/128 binary64) x)) (.f64 #s(literal 1/16 binary64) (.f64 #s(literal -5/128 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (.f64 #s(literal -5/128 binary64) x) (.f64 #s(literal -5/128 binary64) x) (-.f64 #s(literal 1/256 binary64) (.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))))
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x))
(+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
#s(literal -5/128 binary64)
(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))) (-.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))) (.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))))))
(+.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(literal 1 binary64)
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)
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#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64)))
#s(approx (pow x -5) (pow.f64 x #s(literal -5 binary64)))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (.f64 x x)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)))
#s(approx (- (* 1/16 x) 1/8) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (- (* 1/16 x) 1/8) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (.f64 (.f64 #s(literal -1/8 binary64) x) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (.f64 x x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/128 binary64)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (.f64 (.f64 x x) #s(literal -5/128 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (.f64 x x)))
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#s(approx (* (+ (* -5/128 x) 1/16) x) (.f64 (.f64 x x) #s(literal -5/128 binary64)))
#s(approx (* (+ (* -5/128 x) 1/16) x) (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -5/128 binary64) x))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))))))))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (sqrt.f64 x))
#s(approx (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))
#s(approx (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64))) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) (.f64 x x)))
#s(approx (- (* 1/16 x) 1/8) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) x) #s(literal -1 binary64) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (neg.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) x)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))) x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
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#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/8 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal -1/16 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) x)))
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#s(approx (* (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) x) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/8 binary64) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (/ 1 (sqrt x))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1 binary64) (.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (pow x -3)) 1/2) (* (sqrt (pow x -5)) -1/8)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1 binary64) (.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (pow x -3)) (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/2 binary64)))))
#s(approx (* (sqrt (pow x -5)) -1/8) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/8 binary64)))
#s(approx (sqrt (pow x -5)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/2 binary64))))

eval38.0ms (1.8%)

Memory: -17.9MiB live, 74.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 309 to 1 519 computations (85.3% saved)

prune15.0ms (0.7%)

Memory

-10.9MiB live, 35.9MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	324	3	327
Fresh	2	1	3
Picked	1	4	5
Done	0	6	6
Total	327	14	341

Accuracy

100.0%

Counts

341 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	36.1%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x))))
▶	31.7%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
✓	69.0%	(/.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))))
✓	70.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶	31.2%	#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
▶	69.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x)))
✓	68.3%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
✓	68.6%	#s(approx (/ x (+ 1 (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))
✓	69.7%	#s(approx (/ x (+ 1 (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))
✓	68.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 235 to 169 computations (28.1% saved)

series15.0ms (0.7%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Counts

31 → 112

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) x 1/2 (* (* (- (* 1/16 x) 1/8) x) x) (* (- (* 1/16 x) 1/8) x) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (- (sqrt x) 1) (sqrt x) 1 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (pow x -3/2) -3/2 (* (pow x -5/2) -1/8) (pow x -5/2) -5/2 -1/8 (/ 1 (sqrt x)) (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)))
4.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) x 1/2 (* (* (- (* 1/16 x) 1/8) x) x) (* (- (* 1/16 x) 1/8) x) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (- (sqrt x) 1) (sqrt x) 1 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (pow x -3/2) -3/2 (* (pow x -5/2) -1/8) (pow x -5/2) -5/2 -1/8 (/ 1 (sqrt x)) (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)))
4.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) x 1/2 (* (* (- (* 1/16 x) 1/8) x) x) (* (- (* 1/16 x) 1/8) x) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (- (sqrt x) 1) (sqrt x) 1 (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (pow x -3/2) -3/2 (* (pow x -5/2) -1/8) (pow x -5/2) -5/2 -1/8 (/ 1 (sqrt x)) (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

rewrite88.0ms (4%)

Memory

-10.9MiB live, 132.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	3134
0	434	2416
0	2265	2328

Stop Event

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

Counts

143 → 198

Calls

Call 1

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

Outputs
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- 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))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x)) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x)))))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 x (.f64 (-.f64 (.f64 #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 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
(-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x))
(+.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
x
#s(literal 1/2 binary64)
(.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x))
(.f64 x (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))
(.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)
(.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) x) (.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal 1/64 binary64) (.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))) (-.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(approx (sqrt (/ (- ( x x) 1) (- x 1))) (.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))) (.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))))))
(+.f64 #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))))))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -5/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/8 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(pow.f64 x #s(literal -3/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
#s(literal -3/2 binary64)
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(pow.f64 x #s(literal -5/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64)))
#s(literal -5/2 binary64)
#s(literal -1/8 binary64)
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(approx (/ (- ( x x) 1) (- x 1)) x)) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 #s(approx (/ (- ( x x) 1) (- x 1)) x)) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x))) (.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- ( x x) 1) (- x 1)) x))))))
(+.f64 (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x)))
(pow.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x))
#s(approx (/ (- (* x x) 1) (- x 1)) x)
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- 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 (+ 1 (sqrt (/ (- (* x x) 1) (- 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 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (.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)
#s(approx (* (* (- (* 1/16 x) 1/8) x) x) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* (* (- (* 1/16 x) 1/8) x) x) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (- (* 1/16 x) 1/8) x) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (* (- (* 1/16 x) 1/8) x) (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (- (* 1/16 x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* 1/16 x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (* 1/16 x) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- 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 (+ 1 (sqrt (/ (- (* x x) 1) (- 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 (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- x 1)))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(literal 1 binary64))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x)))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x (.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (.f64 x x)))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) x (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)))
#s(approx (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow x -3/2) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
#s(approx (* (pow x -5/2) -1/8) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)))
#s(approx (pow x -5/2) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(literal 1 binary64))
#s(approx (/ (- (* x x) 1) (- x 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* (- (* 1/16 x) 1/8) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)))
#s(approx (* (* (- (* 1/16 x) 1/8) x) x) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (- (* 1/16 x) 1/8) x) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
#s(approx (* (- (* 1/16 x) 1/8) x) (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (.f64 x x)))
#s(approx (- (* 1/16 x) 1/8) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (- (* 1/16 x) 1/8) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#s(approx (- (sqrt x) 1) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (sqrt.f64 x))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))) x))
#s(approx (/ (- (* x x) 1) (- x 1)) x)
#s(approx (/ (- (* x x) 1) (- x 1)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* x 1/2) (* (* (- (* 1/16 x) 1/8) x) x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (* (- (* 1/16 x) 1/8) x) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* 1/16 x) 1/8) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))) x)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (+ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal -1/16 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) x)))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (* (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) x) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/8 binary64) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (/ 1 (sqrt x))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1/8 binary64) (.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64)))
#s(approx (+ (* (pow x -3/2) 1/2) (* (pow x -5/2) -1/8)) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1/8 binary64) (.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64))) x)))
#s(approx (pow x -3/2) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))))
#s(approx (* (pow x -5/2) -1/8) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64)))
#s(approx (pow x -5/2) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))

eval23.0ms (1.1%)

Memory: 1.1MiB live, 47.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 785 to 967 computations (85.7% saved)

prune55.0ms (2.5%)

Memory

-0.1MiB live, 45.3MiB allocated; 52ms collecting garbage

Pruning

14 alts after pruning (0 fresh and 14 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	4	4
Done	0	10	10
Total	215	14	229

Accuracy

100.0%

Counts

229 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	36.1%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ (- (* x x) 1) (- x 1)) x))))
✓	31.7%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
✓	69.0%	(/.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))))
✓	70.2%	(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓	31.2%	#s(approx (/ x (+ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓	69.7%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x)))
✓	68.3%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
✓	68.6%	#s(approx (/ x (+ 1 (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))
✓	69.7%	#s(approx (/ x (+ 1 (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))
✓	68.2%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓	69.4%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
✓	32.1%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))

Compiler

Compiled 593 to 278 computations (53.1% saved)

regimes13.0ms (0.6%)

Memory

-25.9MiB live, 24.1MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

2 calls:

7.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms	x

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.9%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.4%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.3%)

Memory

-34.6MiB live, 12.3MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

4.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.0ms	x

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB 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 x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))

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

regimes5.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms 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 x) 1) (- x 1))))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) x) x)))

Outputs

#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) 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 (0.2%)

Memory

10.5MiB live, 10.5MiB 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 x) 1) (- 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
98.6%	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)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
98.0%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.0%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.2%)

Memory

-39.0MiB live, 7.7MiB allocated; 2ms 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:

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

Results

Accuracy	Segments	Branch
97.3%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.3%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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
69.4%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
69.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch12.0ms (0.6%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0050434578059303315	907.0893368022712

Samples

5.0ms

144×

valid

Compiler

Compiled 326 to 262 computations (19.6% saved)

Precisions

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

ival-sqrt: 1.0ms (38.3% of total)

ival-add!: 1.0ms (38.3% of total)

ival-div!: 1.0ms (38.3% of total)

adjust: 0.0ms (0% of total)

bsearch11.0ms (0.5%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0050434578059303315	907.0893368022712

Samples

5.0ms

128×

valid

Compiler

Compiled 272 to 226 computations (16.9% saved)

Precisions

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

ival-sqrt: 1.0ms (42.9% of total)

ival-add!: 1.0ms (42.9% of total)

ival-div!: 1.0ms (42.9% of total)

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.4%)

Memory

-36.9MiB live, 11.3MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0050434578059303315	907.0893368022712

Samples

2.0ms

64×

valid

Compiler

Compiled 299 to 244 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sqrt: 1.0ms (85.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch5.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.0050434578059303315	907.0893368022712

Samples

2.0ms

48×

valid

Compiler

Compiled 245 to 208 computations (15.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0050434578059303315	907.0893368022712

Compiler

Compiled 281 to 226 computations (19.6% saved)

bsearch1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0050434578059303315	907.0893368022712

Compiler

Compiled 263 to 217 computations (17.5% saved)

bsearch3.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.0050434578059303315	907.0893368022712

Samples

1.0ms

32×

valid

Compiler

Compiled 245 to 199 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0050434578059303315	907.0893368022712

Compiler

Compiled 218 to 181 computations (17% saved)

derivations29.0ms (1.3%)

Memory

-4.2MiB live, 42.5MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 281 to 65 computations (76.9% saved)

preprocess48.0ms (2.2%)

Memory: -1.3MiB live, 91.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 578 to 142 computations (75.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample890.0ms (41%)

explain104.0ms (4.8%)

preprocess335.0ms (15.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.3%)

rewrite105.0ms (4.8%)

eval36.0ms (1.7%)

prune8.0ms (0.4%)

series11.0ms (0.5%)

rewrite91.0ms (4.2%)

eval31.0ms (1.4%)

prune15.0ms (0.7%)

series23.0ms (1.1%)

rewrite98.0ms (4.5%)

eval38.0ms (1.8%)

prune15.0ms (0.7%)

series15.0ms (0.7%)

rewrite88.0ms (4%)

eval23.0ms (1.1%)

prune55.0ms (2.5%)

regimes13.0ms (0.6%)

regimes9.0ms (0.4%)

regimes8.0ms (0.4%)

regimes7.0ms (0.3%)

regimes5.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes4.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch12.0ms (0.6%)

bsearch11.0ms (0.5%)

bsearch9.0ms (0.4%)

bsearch5.0ms (0.2%)

bsearch1.0ms (0.1%)

bsearch1.0ms (0.1%)

bsearch3.0ms (0.2%)

bsearch1.0ms (0%)

derivations29.0ms (1.3%)

preprocess48.0ms (2.2%)

end0.0ms (0%)

Profiling