Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.5s (48.8%)

Memory

7.0MiB live, 1 323.4MiB allocated; 363ms collecting garbage

Samples

768.0ms	6 180×	1	valid
419.0ms	1 982×	2	valid
4.0ms	94×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 839.0ms

ival-sqrt: 365.0ms (43.5% of total)

adjust: 201.0ms (23.9% of total)

ival-div!: 182.0ms (21.7% of total)

ival-sub!: 49.0ms (5.8% of total)

ival-add!: 42.0ms (5% of total)

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

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

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

Bogosity

preprocess57.0ms (1.9%)

Memory

27.2MiB live, 27.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	20	38
2	23	38
3	45	38
4	134	38
5	1084	35
6	5717	35

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 20 to 16 computations (20% saved)

series7.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

8 → 44

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#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
4.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

Time

Variable

Point

Expression

4.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

rewrite65.0ms (2.2%)

Memory

-13.8MiB live, 41.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	1066
0	222	934
0	1281	890

Stop Event

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

Counts

52 → 68

Calls

Call 1

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

eval7.0ms (0.2%)

Memory: 8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 697 to 306 computations (56.1% saved)

prune13.0ms (0.4%)

Memory

-35.0MiB live, 11.0MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

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

Accuracy

80.1%

Counts

61 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
	39.0%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
	39.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
▶	36.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
	3.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
▶	30.4%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	79.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 x x)))
	79.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
	78.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 x x)))
▶	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	62.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))

Compiler

Compiled 450 to 374 computations (16.9% saved)

series16.0ms (0.5%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

36 → 111

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 x 1 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) -1/2 (sqrt x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1))
4.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 x 1 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) -1/2 (sqrt x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1))
3.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 x 1 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) -1/2 (sqrt x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1))

Time

Variable

Point

Expression

6.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

rewrite86.0ms (2.8%)

Memory

5.9MiB live, 51.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	416	3377
0	465	2802
0	2286	2727

Stop Event

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

Counts

147 → 238

Calls

Call 1

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

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

eval26.0ms (0.9%)

Memory: -17.6MiB live, 27.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 945 to 1 168 computations (60.3% saved)

prune17.0ms (0.6%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	206	13	219
Fresh	2	5	7
Picked	2	3	5
Done	0	1	1
Total	210	22	232

Accuracy

99.8%

Counts

232 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
	39.0%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
	39.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	30.4%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	98.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) x))
	79.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	46.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))) #s(literal 1/2 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))) (*.f64 x x)))
	75.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
	79.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x)))
▶	78.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (.f64 x x)))
▶	28.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (*.f64 x x)))
	78.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	62.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
▶	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	23.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (.f64 x x)))))
▶	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
	62.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x))))
	79.4%	#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) x)) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (.f64 x x)))

Compiler

Compiled 1 182 to 989 computations (16.3% saved)

series24.0ms (0.8%)

Memory

22.9MiB live, 22.9MiB allocated; 0ms collecting garbage

Counts

43 → 162

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (+ (* 1/4 x) 1) 1/4 1/2 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (sqrt x) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) 1/8 (* (/ 1 (sqrt (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/8 (sqrt x)) (* 1/2 (sqrt x)))
5.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (+ (* 1/4 x) 1) 1/4 1/2 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (sqrt x) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) 1/8 (* (/ 1 (sqrt (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/8 (sqrt x)) (* 1/2 (sqrt x)))
4.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (+ (* 1/4 x) 1) 1/4 1/2 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (sqrt x) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) 1/8 (* (/ 1 (sqrt (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/8 (sqrt x)) (* 1/2 (sqrt x)))

Time

Variable

Point

Expression

11.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (+ (* 1/4 x) 1) 1/4 1/2 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (sqrt x) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) 1/8 (* (/ 1 (sqrt (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/8 (sqrt x)) (* 1/2 (sqrt x)))

5.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (+ (* 1/4 x) 1) 1/4 1/2 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (sqrt x) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) 1/8 (* (/ 1 (sqrt (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/8 (sqrt x)) (* 1/2 (sqrt x)))

4.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (+ (* 1/4 x) 1) 1/4 1/2 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (sqrt x) (/ 1/2 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) 1/8 (* (/ 1 (sqrt (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/ (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (* x x)) (+ (* (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) x) (* 1/2 (sqrt x))) (- (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/2 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (* 1/8 (sqrt x)) (* 1/2 (sqrt x)))

rewrite103.0ms (3.4%)

Memory

-32.9MiB live, 60.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	6485
0	583	4843
0	2553	4743

Stop Event

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

Counts

205 → 349

Calls

Call 1

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

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

eval588.0ms (19.4%)

Memory: -59.6MiB live, 46.1MiB allocated; 914ms collecting garbage
Compiler: Compiled 6 501 to 2 149 computations (66.9% saved)

prune26.0ms (0.8%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	337	19	356
Fresh	8	5	13
Picked	4	1	5
Done	0	4	4
Total	349	29	378

Accuracy

99.8%

Counts

378 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
	39.0%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
	39.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	30.4%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	98.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(approx (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) x))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
	79.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 x x)))
▶	75.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
	45.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) (*.f64 x x)))
	27.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (sqrt.f64 x)) x))) (.f64 x x)))
▶	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))) x))
	33.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (.f64 x x)))
	28.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (+.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) x) (.f64 x x)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))) (.f64 x x)))
	78.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	62.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
	78.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x))))
✓	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	23.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (-.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
	98.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
	28.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 #s(approx (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) (.f64 x x))) x)))
▶	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))) x))))
	28.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) #s(approx (/ (- (+ (* (/ 1 (sqrt (* (* x x) x))) 1/8) (/ 1/2 (sqrt x))) (* (/ 1 (sqrt (* (* x x) x))) 1/2)) x) (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) (.f64 (*.f64 x x) x)))))
▶	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))

Compiler

Compiled 1 828 to 1 483 computations (18.9% saved)

series82.0ms (2.7%)

Memory

-66.9MiB live, 61.1MiB allocated; 21ms collecting garbage

Counts

54 → 164

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt x)) 1/8) (/ 1 (sqrt x)) 1 (sqrt x) x 1/8 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/ (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x)) (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x) (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) -1 (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x)) (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x) (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) (* (* -1/8 (/ 1 (sqrt x))) -1) (* -1/8 (/ 1 (sqrt x))) -1/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (exp (* (log x) 2))) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (exp (* (log x) 2)) x))) (/ 1 (* (exp (* (log x) 2)) x)) (* (exp (* (log x) 2)) x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (* 1/2 (/ 1 (sqrt x))))
25.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt x)) 1/8) (/ 1 (sqrt x)) 1 (sqrt x) x 1/8 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/ (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x)) (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x) (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) -1 (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x)) (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x) (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) (* (* -1/8 (/ 1 (sqrt x))) -1) (* -1/8 (/ 1 (sqrt x))) -1/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (exp (* (log x) 2))) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (exp (* (log x) 2)) x))) (/ 1 (* (exp (* (log x) 2)) x)) (* (exp (* (log x) 2)) x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (* 1/2 (/ 1 (sqrt x))))
10.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt x)) 1/8) (/ 1 (sqrt x)) 1 (sqrt x) x 1/8 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/ (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x)) (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x) (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) -1 (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x)) (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x) (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) (* (* -1/8 (/ 1 (sqrt x))) -1) (* -1/8 (/ 1 (sqrt x))) -1/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (exp (* (log x) 2))) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (exp (* (log x) 2)) x))) (/ 1 (* (exp (* (log x) 2)) x)) (* (exp (* (log x) 2)) x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (* 1/2 (/ 1 (sqrt x))))

Time

Variable

Point

Expression

42.0ms

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt x)) 1/8) (/ 1 (sqrt x)) 1 (sqrt x) x 1/8 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/ (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x)) (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x) (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) -1 (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x)) (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x) (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) (* (* -1/8 (/ 1 (sqrt x))) -1) (* -1/8 (/ 1 (sqrt x))) -1/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (exp (* (log x) 2))) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (exp (* (log x) 2)) x))) (/ 1 (* (exp (* (log x) 2)) x)) (* (exp (* (log x) 2)) x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (* 1/2 (/ 1 (sqrt x))))

25.0ms

-inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt x)) 1/8) (/ 1 (sqrt x)) 1 (sqrt x) x 1/8 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/ (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x)) (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x) (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) -1 (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x)) (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x) (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) (* (* -1/8 (/ 1 (sqrt x))) -1) (* -1/8 (/ 1 (sqrt x))) -1/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (exp (* (log x) 2))) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (exp (* (log x) 2)) x))) (/ 1 (* (exp (* (log x) 2)) x)) (* (exp (* (log x) 2)) x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (* 1/2 (/ 1 (sqrt x))))

10.0ms

inf

((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (* (/ 1 (sqrt x)) 1/8) (/ 1 (sqrt x)) 1 (sqrt x) x 1/8 (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x))) -1/2 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) x) (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/ (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/2) (/ 1/2 (sqrt x))) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x)) (/ (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) x) (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) -1 (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x)) (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x) (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) (* (* -1/8 (/ 1 (sqrt x))) -1) (* -1/8 (/ 1 (sqrt x))) -1/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (exp (* (log x) 2))) (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (exp (* (log x) 2)) x))) (/ 1 (* (exp (* (log x) 2)) x)) (* (exp (* (log x) 2)) x) (exp (* (log x) 2)) (* (log x) 2) (log x) 2 (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x)))) (* 1/2 (/ 1 (sqrt x))))

rewrite93.0ms (3.1%)

Memory

14.4MiB live, 59.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	505	6596
0	583	5093
0	2471	5028

Stop Event

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

Counts

218 → 377

Calls

Call 1

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

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

eval39.0ms (1.3%)

Memory: -3.2MiB live, 41.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 5 662 to 1 932 computations (65.9% saved)

prune31.0ms (1%)

Memory

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

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	304	9	313
Fresh	5	14	19
Picked	4	1	5
Done	0	5	5
Total	313	29	342

Accuracy

99.8%

Counts

342 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))
	39.0%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
	39.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	39.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
✓	30.4%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	98.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(approx (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) x))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
	98.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 #s(approx (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) x))
	79.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (.f64 x x)))
	75.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
	79.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (exp (* (log x) 2)) x)))) 1/2) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
	45.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))) (*.f64 x x)))
	27.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (sqrt.f64 x)) x))) (.f64 x x)))
✓	97.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (/ 1 (sqrt (* (* x x) x))) (+ (* 1/4 x) 1)) 1/2) (+ (* -1/2 (sqrt x)) (/ 1/2 (sqrt x)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
	33.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* 1/8 (sqrt x))) (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x))) (.f64 x x)))
	28.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (+.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) x) (.f64 x x)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))) (.f64 x x)))
	78.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
✓	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	62.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
	78.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (.f64 x x))))
✓	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	23.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) #s(literal -3/8 binary64))) x (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (.f64 x x) (*.f64 x x)))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg.f64 (/.f64 #s(approx (+ (* (/ 1/2 (sqrt x)) -1) (neg (/ (- (* (* -1/8 (/ 1 (sqrt x))) -1) (/ 1/2 (sqrt x))) x))) (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))))
	98.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) 1/2) (+ (* -1/2 (sqrt x)) (* 1/2 (/ 1 (sqrt x))))) (* x x)) (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) x)))))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
	97.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) x)))
	97.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x)))) x)))

Compiler

Compiled 1 936 to 1 124 computations (41.9% saved)

regimes28.0ms (0.9%)

Memory

-20.9MiB live, 25.5MiB allocated; 2ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

13.0ms	x
9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes18.0ms (0.6%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

37 → 1

Calls

Call 1

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

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

Outputs

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

Calls

2 calls:

9.0ms	x
7.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes19.0ms (0.6%)

Memory

-35.2MiB live, 14.1MiB allocated; 8ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

12.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes9.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes8.0ms (0.3%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.2%)

Memory

-41.6MiB live, 5.1MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
5.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
5.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

derivations85.0ms (2.8%)

Memory

-3.2MiB live, 42.4MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 196 to 116 computations (40.8% saved)

preprocess74.0ms (2.4%)

Memory: 23.1MiB live, 116.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 226 to 140 computations (38.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.5s (48.8%)

preprocess57.0ms (1.9%)

series7.0ms (0.2%)

rewrite65.0ms (2.2%)

eval7.0ms (0.2%)

prune13.0ms (0.4%)

series16.0ms (0.5%)

rewrite86.0ms (2.8%)

eval26.0ms (0.9%)

prune17.0ms (0.6%)

series24.0ms (0.8%)

rewrite103.0ms (3.4%)

eval588.0ms (19.4%)

prune26.0ms (0.8%)

series82.0ms (2.7%)

rewrite93.0ms (3.1%)

eval39.0ms (1.3%)

prune31.0ms (1%)

regimes28.0ms (0.9%)

regimes18.0ms (0.6%)

regimes19.0ms (0.6%)

regimes11.0ms (0.4%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

derivations85.0ms (2.8%)

preprocess74.0ms (2.4%)

end0.0ms (0%)

Profiling