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

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB 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)

sample800.0ms (46.4%)

Memory

48.1MiB live, 953.3MiB allocated; 263ms collecting garbage

Samples

544.0ms	8 252×	0	valid
10.0ms	4×	2	valid
0.0ms	2×	0	invalid

Precisions

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

ival-add: 118.0ms (42.2% of total)

ival-div: 86.0ms (30.8% of total)

ival-sqrt: 63.0ms (22.6% of total)

exact: 7.0ms (2.5% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain76.0ms (4.4%)

Memory

15.0MiB live, 115.2MiB allocated; 12ms 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

26.0ms

512×

valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 6.0ms (41.3% of total)

ival-sqrt: 4.0ms (27.5% of total)

ival-div: 3.0ms (20.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess253.0ms (14.7%)

Memory

12.9MiB live, 159.7MiB allocated; 78ms 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

0.5MiB live, 0.5MiB 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 (0.4%)

Memory

6.6MiB live, 6.6MiB 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))
1.0ms	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))

1.0ms

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

rewrite69.0ms (4%)

Memory

-26.0MiB live, 68.8MiB allocated; 11ms 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#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 (fma.f64 (.f64 x x) x #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)))) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (.f64 x x)) #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
#s(approx (+ 1 (sqrt (+ x 1))) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x)))
#s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) 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)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 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) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (.f64 (.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (.f64 (.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x) #s(literal -1 binary64)))

eval7.0ms (0.4%)

Memory: 13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 174 to 280 computations (76.1% saved)

prune16.0ms (1%)

Memory

-22.0MiB live, 25.0MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Accuracy

100.0%

Counts

61 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.1%	(/.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 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
▶	34.1%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)))))
▶	33.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
▶	65.6%	#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))

Compiler

Compiled 222 to 158 computations (28.8% saved)

series28.0ms (1.6%)

Memory

38.2MiB live, 38.2MiB allocated; 0ms collecting garbage

Counts

52 → 196

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ 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 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (- (pow x 1/2) 1) (pow x 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ (* (pow (pow x -1) 1/2) x) (* (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) x)) (pow (pow x -1) 1/2) (* (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) x) (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) (pow (pow (pow x 5) -1) 1/2) (pow (pow x 5) -1) (pow x 5) 5 -1/8 (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2)) (pow (pow (pow x 7) -1) 1/2) (pow (pow x 7) -1) (pow x 7) 7 (* (pow (pow (pow x 3) -1) 1/2) 1/2) (pow (pow (pow x 3) -1) 1/2) (pow (pow x 3) -1) (pow x 3) 3 (/ 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)) (- (* x x) 1) (* x x) (- x 1))
8.0ms	x	@	inf	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ 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 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (- (pow x 1/2) 1) (pow x 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ (* (pow (pow x -1) 1/2) x) (* (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) x)) (pow (pow x -1) 1/2) (* (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) x) (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) (pow (pow (pow x 5) -1) 1/2) (pow (pow x 5) -1) (pow x 5) 5 -1/8 (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2)) (pow (pow (pow x 7) -1) 1/2) (pow (pow x 7) -1) (pow x 7) 7 (* (pow (pow (pow x 3) -1) 1/2) 1/2) (pow (pow (pow x 3) -1) 1/2) (pow (pow x 3) -1) (pow x 3) 3 (/ 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)) (- (* x x) 1) (* x x) (- x 1))
6.0ms	x	@	0	((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ 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 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (- (pow x 1/2) 1) (pow x 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ (* (pow (pow x -1) 1/2) x) (* (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) x)) (pow (pow x -1) 1/2) (* (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) x) (+ (* (pow (pow (pow x 5) -1) 1/2) -1/8) (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2))) (pow (pow (pow x 5) -1) 1/2) (pow (pow x 5) -1) (pow x 5) 5 -1/8 (+ (* (pow (pow (pow x 7) -1) 1/2) 1/16) (* (pow (pow (pow x 3) -1) 1/2) 1/2)) (pow (pow (pow x 7) -1) 1/2) (pow (pow x 7) -1) (pow x 7) 7 (* (pow (pow (pow x 3) -1) 1/2) 1/2) (pow (pow (pow x 3) -1) 1/2) (pow (pow x 3) -1) (pow x 3) 3 (/ 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)) (- (* x x) 1) (* x x) (- x 1))

Time

Variable

Point

Expression

10.0ms

-inf

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

8.0ms

inf

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

6.0ms

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

rewrite137.0ms (8%)

Memory

-41.6MiB live, 148.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	634	5734
0	699	4260
0	3381	4166

Stop Event

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

Counts

248 → 404

Calls

Call 1

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

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

eval57.0ms (3.3%)

Memory: 41.5MiB live, 89.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 16 265 to 2 218 computations (86.4% saved)

prune108.0ms (6.3%)

Memory

2.2MiB live, 143.0MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	426	5	431

Accuracy

100.0%

Counts

431 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.1%	(/.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 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
✓	34.1%	(/.f64 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)))))
✓	33.6%	#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	65.6%	#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))

Compiler

Compiled 230 to 140 computations (39.1% saved)

regimes8.0ms (0.5%)

Memory

-40.0MiB live, 10.2MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms	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)

regimes4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#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 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))

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

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))

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

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
99.0%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.0%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.2%)

Memory

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

Counts

2 → 2

Calls

Call 1

Inputs

#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 (pow.f64 x #s(literal 1/2 binary64)) #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 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))

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
98.2%	2	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.2%	2	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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))

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
65.6%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
65.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch13.0ms (0.8%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0014706048760197194	2.839559531028972

Samples

6.0ms

128×

valid

Compiler

Compiled 547 to 402 computations (26.5% saved)

Precisions

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

ival-div: 1.0ms (31.5% of total)

ival-add: 1.0ms (31.5% of total)

ival-sqrt: 1.0ms (31.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.5%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.0014706048760197194	2.839559531028972

Samples

4.0ms

80×

valid

Compiler

Compiled 299 to 242 computations (19.1% saved)

Precisions

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

ival-div: 1.0ms (51.8% of total)

ival-add: 1.0ms (51.8% of total)

ival-sqrt: 1.0ms (51.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify54.0ms (3.1%)

Memory

-35.7MiB live, 58.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	149
1	63	149
2	72	149
3	95	149
4	142	149
5	422	149
6	3788	149
7	7560	149

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal 7385903388887613/9007199254740992 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 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x))))))
(if (<=.f64 x #s(literal 2206763817411543/1125899906842624 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)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal 7385903388887613/9007199254740992 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 x (+.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x))))))
(if (<=.f64 x #s(literal 2206763817411543/1125899906842624 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)) #s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 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))

derivations15.0ms (0.9%)

Memory

18.9MiB live, 18.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 149 to 56 computations (62.4% saved)

preprocess55.0ms (3.2%)

Memory: -14.9MiB live, 80.0MiB allocated; 22ms collecting garbage
Compiler: Compiled 314 to 124 computations (60.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample800.0ms (46.4%)

explain76.0ms (4.4%)

preprocess253.0ms (14.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.4%)

rewrite69.0ms (4%)

eval7.0ms (0.4%)

prune16.0ms (1%)

series28.0ms (1.6%)

rewrite137.0ms (8%)

eval57.0ms (3.3%)

prune108.0ms (6.3%)

regimes8.0ms (0.5%)

regimes4.0ms (0.2%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch13.0ms (0.8%)

bsearch8.0ms (0.5%)

simplify54.0ms (3.1%)

derivations15.0ms (0.9%)

preprocess55.0ms (3.2%)

end0.0ms (0%)

Profiling