Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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 (37.1%)

Memory

-4.0MiB live, 1 112.7MiB allocated; 329ms collecting garbage

Samples

814.0ms	6 187×	1	valid
316.0ms	1 948×	2	valid
5.0ms	121×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 842.0ms

ival-sqrt: 329.0ms (39.1% of total)

adjust: 198.0ms (23.5% of total)

ival-div!: 181.0ms (21.5% of total)

ival-sub!: 90.0ms (10.7% of total)

ival-add!: 44.0ms (5.2% of total)

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

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

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

Bogosity

preprocess40.0ms (1%)

Memory

1.8MiB live, 48.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	64	29
2	275	29
3	1473	29

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.4%	(-.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

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

8 → 40

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 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt 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 (* 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 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	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

3.0ms

-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))

rewrite181.0ms (4.5%)

Memory

36.4MiB live, 259.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1177
0	212	1079
1	1275	966
0	8316	925

Stop Event

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

Counts

48 → 126

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 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt 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 (* 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 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #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) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.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))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #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) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 (.f64 x (-.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 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
x
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.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 (-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 x x) x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x)))) (/.f64 (.f64 (.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (.f64 x #s(literal 1 binary64))))) (/.f64 #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal 1/2 binary64) 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 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#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 (fma.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 (fma.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)) (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 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
#s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x))
#s(approx (+ x 1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x))))
#s(approx (/ 1 (sqrt x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
#s(approx (sqrt x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (*.f64 (sqrt.f64 x) x)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x))) x)))

eval12.0ms (0.3%)

Memory: 15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 312 to 536 computations (59.1% saved)

prune31.0ms (0.8%)

Memory

-37.7MiB live, 19.9MiB allocated; 16ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	97	24	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	24	122

Accuracy

64.4%

Counts

122 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.9%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
	25.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #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))))))
	34.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	34.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	30.9%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
▶	25.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #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)))))))
	26.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
	9.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	5.9%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
	20.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
	26.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
▶	9.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))
	3.7%	(-.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))))
▶	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	9.3%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.7%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	26.6%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	9.3%	(-.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	21.8%	(-.f64 #s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	29.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	29.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
	34.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
▶	35.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))

Compiler

Compiled 858 to 722 computations (15.9% saved)

series29.0ms (0.7%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

34 → 131

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ 1/2 (* (* x x) x)) #s(hole binary64 (/ 1/2 (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 (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt 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 x)) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#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 x)))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1/2 x)))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* 1/4 x) 1/2))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* x (+ 1/4 (* -1/6 x))) 1/2))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* x (- (* x (+ 1/4 (* x (- (* 1/8 x) 1/6)))) 1/2))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* 1/2 x)))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* -1/4 x)))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/6 x) 1/4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/6 (* -1/8 x))) 1/4))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* x (- (+ (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (+ (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 3/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))))))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* 1/2 (/ x (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (+ (* x (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* x (+ (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* x (- (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (* 3/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (/ 1 (sqrt x)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* -1/2 x) (/ 1 (sqrt x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* x (- (* 3/8 x) 1/2)) (/ 1 (sqrt x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (+ 1 (+ (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)) (/ 1 (sqrt x))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ 1 (+ 1 (/ 1 (sqrt x))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (* x (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* 1/8 (/ (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (/ (* (+ 1/2 (/ 1 (sqrt x))) (- (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))))) (+ 1 (/ 1 (sqrt x)))))))) (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (* (sqrt x) (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ 1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (/ 1 (pow (sqrt (/ 1 x)) 2)) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))) (pow x 2))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4)))) (pow x 2))))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) #s(hole binary64 (/ (- (+ (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 6))) (/ 1 (pow (sqrt (/ 1 x)) 2))) (+ (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 4))) (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 8))))) (pow x 2))))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (* (sqrt x) (/ 1 x)) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* -1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* -1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) x (* (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (* (sqrt x) (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))))
8.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) x (* (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (* (sqrt x) (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))))
7.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) x (* (sqrt x) x) (sqrt x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (* (sqrt x) (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (exp (* (log (sqrt (- x -1))) -1))) (exp (* (log (sqrt (- x -1))) -1)) (* (log (sqrt (- x -1))) -1) (log (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))))

Time

Variable

Point

Expression

10.0ms

inf

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

8.0ms

-inf

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

7.0ms

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

rewrite218.0ms (5.4%)

Memory

-22.1MiB live, 170.0MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	632	5547
0	684	4695
1	4489	3859
0	9453	3705

Stop Event

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

Counts

165 → 566

Calls

Call 1

Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))
#s(literal 1/2 binary64)
(.f64 (.f64 x x) x)
(*.f64 x x)
x
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
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#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (* (sqrt x) (/ 1 x)) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))
#s(approx (* (log (sqrt (- x -1))) -1) #s(hole binary64 (- (+ (* -1 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (* -1 (log (/ -1 x))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))))) (/ 1/4 (* (pow x 4) (pow (sqrt (/ 1 x)) 4))))))
#s(approx (log (sqrt (- x -1))) #s(hole binary64 (- (+ (log (sqrt (/ 1 x))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 2))) (* 1/6 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 6))))))) (* 1/4 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 4)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* -1/2 (sqrt (/ 1 x))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (- (+ (* -1/2 (sqrt (/ 1 x))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/8 (* (pow x 2) (sqrt (/ 1 x)))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (/ -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (+ (* 2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))

Outputs
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x)
(.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (.f64 (.f64 x x) x))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) (.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (neg.f64 x) (.f64 x x))))
(/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))
#s(literal 1/2 binary64)
(.f64 (fabs.f64 (.f64 (sqrt.f64 x) x)) (fabs.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (neg.f64 (.f64 (sqrt.f64 x) x)) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(.f64 (.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))) (neg.f64 (+.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))))
(neg.f64 (-.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x) (neg.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))
(-.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(+.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x))))
#s(literal 1 binary64)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx ( (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (neg.f64 (+.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (fma.f64 #s(approx ( (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 #s(approx ( (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(approx ( (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))) (fma.f64 #s(approx ( (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 #s(approx ( (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))))
(neg.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x))))
(-.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(+.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
#s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (neg.f64 x))
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#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
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#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
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#s(approx (* (sqrt x) x) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
#s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x))
#s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x))
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#s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) (-.f64 x #s(literal -1 binary64)))
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#s(approx (log (sqrt (- x -1))) (log.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x)))
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#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64))) x))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) (.f64 x x)))) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) (.f64 x x)))) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))
#s(approx (* (sqrt (- x -1)) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x))))
#s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))
#s(approx (* (sqrt x) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
#s(approx (sqrt x) (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) (/ 1 x)) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (sqrt.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (* (sqrt x) (/ 1 x)) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (* (log (sqrt (- x -1))) -1) (neg.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x)))))
#s(approx (* (log (sqrt (- x -1))) -1) (-.f64 (neg.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (log (sqrt (- x -1))) -1) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (* (log (sqrt (- x -1))) -1) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64) (neg.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x))))) (fma.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal -6 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64)))))
#s(approx (log (sqrt (- x -1))) (log.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x))))
#s(approx (log (sqrt (- x -1))) (+.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64))))
#s(approx (log (sqrt (- x -1))) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 x x)) #s(literal 1/4 binary64))))
#s(approx (log (sqrt (- x -1))) (-.f64 (+.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x))) (fma.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal -6 binary64)) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x) #s(literal 1/2 binary64)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 x x)) #s(literal 1/4 binary64))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/8 binary64)))))
#s(approx (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -3/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64))) x)))
#s(approx (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))

eval62.0ms (1.5%)

Memory: -6.5MiB live, 82.7MiB allocated; 22ms collecting garbage
Compiler: Compiled 6 933 to 2 000 computations (71.2% saved)

prune27.0ms (0.7%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	494	23	517
Fresh	15	4	19
Picked	3	2	5
Done	0	0	0
Total	512	29	541

Accuracy

98.2%

Counts

541 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))))))
	9.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
	34.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
	34.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	34.5%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	18.3%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.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) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))))
	27.5%	(-.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
▶	2.5%	(-.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	34.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	26.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
▶	22.3%	(-.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	29.6%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	29.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
	34.5%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
	5.9%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
▶	94.2%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
	60.6%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
	36.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (*.f64 (sqrt.f64 x) x)))
▶	35.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) (*.f64 (sqrt.f64 x) x)))
	35.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) x)))
	35.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
✓	35.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
	33.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) x)))
	32.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (exp.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
	32.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x)) (.f64 (sqrt.f64 x) x)))
	32.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) x)))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))

Compiler

Compiled 1 198 to 996 computations (16.9% saved)

series26.0ms (0.6%)

Memory

-28.8MiB live, 18.1MiB allocated; 4ms collecting garbage

Counts

32 → 117

Calls

Call 1

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

Outputs
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* x (- (+ (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (+ (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 3/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))))))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) #s(hole binary64 (/ 1/2 (* x (sqrt x)))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 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 (* 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 x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 -1))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#s(approx (* (sqrt x) -1) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ 1/2 (* (pow (/ 1 x) -2) x)) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (* (pow (/ 1 x) -2) x) #s(hole binary64 (pow x 3)))
#s(approx (pow (/ 1 x) -2) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) #s(hole binary64 (/ -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x))))) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	((- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (/ 1 (* (sqrt x) x)) 1/2) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/2 (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (/ 1 (sqrt (+ x 1))) (- (* (sqrt x) (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt x) (/ 1 x)) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (* (sqrt x) -1) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (pow (/ 1 x) -2) x) (pow (/ 1 x) -2) (/ 1 x) -2)
5.0ms	x	@	-inf	((- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (/ 1 (* (sqrt x) x)) 1/2) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/2 (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (/ 1 (sqrt (+ x 1))) (- (* (sqrt x) (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt x) (/ 1 x)) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (* (sqrt x) -1) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (pow (/ 1 x) -2) x) (pow (/ 1 x) -2) (/ 1 x) -2)
4.0ms	x	@	0	((- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (/ 1 (* (sqrt x) x)) 1/2) (/ 1 (* (sqrt x) x)) 1 (* (sqrt x) x) (sqrt x) x 1/2 (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (/ 1 (sqrt (+ x 1))) (- (* (sqrt x) (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt x) (/ 1 x)) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* 1 (neg (sqrt (- x -1)))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (* (sqrt x) -1) (* (sqrt x) (neg (sqrt (- x -1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (pow (/ 1 x) -2) x) (pow (/ 1 x) -2) (/ 1 x) -2)

Time

Variable

Point

Expression

13.0ms

inf

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

5.0ms

-inf

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

4.0ms

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

rewrite173.0ms (4.3%)

Memory

14.6MiB live, 151.6MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	577	4662
0	624	3963
1	4028	3227
0	8513	3106

Stop Event

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

Counts

149 → 487

Calls

Call 1

Inputs
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(-.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 x) x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
(-.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (* (sqrt x) (/ 1 x)) (/.f64 (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))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) (*.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal -2 binary64)
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* x (- (+ (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (+ (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 3/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))))))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) #s(hole binary64 (/ 1/2 (* x (sqrt x)))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 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 (* 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 x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))) (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x)))))) (/ 1 (sqrt x))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ -1 (+ (* x (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/2 (/ 1 (sqrt x))) (* x (+ (* -1 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x)))))) (* x (+ (* -1/16 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (+ (* 1/16 (/ 1 (sqrt x))) (+ (* 1/8 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/2 (- (* 1/8 (/ 1 (sqrt x))) (+ (* -1/2 (+ (* -1/2 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))) (* 1/2 (/ 1 (sqrt x))))) (* 1/8 (/ (+ 1 (* -1 (sqrt x))) (sqrt x))))))))))))))) (/ 1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* -1/2 x) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (* -1 (sqrt x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 -1))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 1)))
#s(approx (* (sqrt x) -1) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (/ 1 (sqrt x)) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* 1/2 x) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* -3/8 x))) (/ 1 (sqrt x))) 1)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) (/ 1 (sqrt x))) 1)))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (/ 1/2 (* (pow (/ 1 x) -2) x)) #s(hole binary64 (/ 1/2 (pow x 3))))
#s(approx (* (pow (/ 1 x) -2) x) #s(hole binary64 (pow x 3)))
#s(approx (pow (/ 1 x) -2) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) #s(hole binary64 (/ -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (* (sqrt x) x)) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x))))) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x)))) (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))) (* 3/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 5/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 7))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5)))) (pow x 3)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 5/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 5))) (* 35/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 9)))))) (pow x 3)))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (sqrt (/ 1 x))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))

Outputs
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) x))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) x)))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
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#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (+.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))) (/.f64 #s(literal 5/16 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 3/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)))))) x (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 3/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)))) x (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))) x))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (* (sqrt x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (sqrt.f64 x) x) x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.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 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 (fma.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 (fma.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)) (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 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (+.f64 (fma.f64 x (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (+.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64)))) x (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) #s(literal -1 binary64))
#s(approx (* 1 (neg (sqrt (- x -1)))) (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
#s(approx (* (sqrt x) -1) (neg.f64 (sqrt.f64 x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (fma.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (sqrt.f64 x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 x) x) (.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (neg.f64 (sqrt.f64 x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x (/.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64))))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1/2 (* (pow (/ 1 x) -2) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)))
#s(approx (* (pow (/ 1 x) -2) x) (.f64 (.f64 x x) x))
#s(approx (pow (/ 1 x) -2) (*.f64 x x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 3/8 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (* (sqrt x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
#s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 (sqrt.f64 x) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (sqrt.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)) x))
#s(approx (sqrt (+ x 1)) (.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))) x))
#s(approx (sqrt (+ x 1)) (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x))))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) x))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) x) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) x) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) (.f64 x x)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (*.f64 x x)))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (neg.f64 (/.f64 (-.f64 (/.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))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) (/.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))))
#s(approx (* (/ 1 (* (sqrt x) x)) 1/2) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))
#s(approx (/ 1 (* (sqrt x) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (* (sqrt x) x) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (sqrt.f64 x)) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (sqrt.f64 x)) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (sqrt.f64 x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))) (sqrt.f64 x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))))))
#s(approx (sqrt (+ x 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x))))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x))))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x)))
#s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x)))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))))))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (* 1 (neg (sqrt (- x -1)))) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (* (/ 1/2 (* (pow (/ 1 x) -2) x)) (* (sqrt x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))

eval94.0ms (2.3%)

Memory: -22.2MiB live, 86.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 5 331 to 1 952 computations (63.4% saved)

prune24.0ms (0.6%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	478	19	497
Fresh	16	6	22
Picked	5	0	5
Done	2	0	2
Total	501	25	526

Accuracy

100.0%

Counts

526 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	9.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
▶	36.5%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	34.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
	34.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	34.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	70.3%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	43.6%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	43.3%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	95.9%	(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	27.5%	(-.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	34.5%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	22.3%	(-.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	34.5%	(.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	34.5%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
	94.2%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	95.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	95.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	78.7%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
▶	96.1%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	95.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
	95.7%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	78.6%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
	60.6%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
▶	5.9%	#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))

Compiler

Compiled 1 188 to 944 computations (20.5% saved)

series100.0ms (2.5%)

Memory

-9.0MiB live, 78.3MiB allocated; 14ms collecting garbage

Counts

30 → 137

Calls

Call 1

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

Outputs
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* x (- (+ (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (+ (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 3/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))))))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (pow x -3/2))))
#s(approx (pow x -3/2) #s(hole binary64 (pow x -3/2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (* (/ 1 (* x x)) (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (* (/ 1 (* x x)) (sqrt x)) #s(hole binary64 (/ (sqrt x) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 -1))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (* x (+ 1/2 (* -3/8 x))) 1)))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (* x (+ 1/2 (* x (- (* 5/16 x) 3/8)))) 1)))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 1))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ (* -1 (* x (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2))))))) (/ 1 (* (sqrt x) (+ 1 (sqrt x)))))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))))) (+ 1 (sqrt x)))) (* 1/8 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2))))))) (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2))))))) (/ 1 (* (sqrt x) (+ 1 (sqrt x)))))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (+ (* x (- (* x (- (+ (* 1/8 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* x (- (* 1/16 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))) (+ (* -1 (/ (* (+ 1/8 (* -1/8 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))))) (+ 1 (sqrt x)))) (+ (* 1/16 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (/ (* (+ 1/2 (* 1/2 (+ 1 (sqrt x)))) (- (* 1/8 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))))) (+ 1 (sqrt x)))) (* 1/8 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2))))))) (+ 1 (sqrt x)))))))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (+ 1 (sqrt x)))) (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2)))))) (+ 1 (sqrt x)))) (* 1/8 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2))))))) (+ (* 1/2 (/ 1 (* (sqrt x) (+ 1 (sqrt x))))) (* 1/2 (/ 1 (* (sqrt x) (pow (+ 1 (sqrt x)) 2))))))) (/ 1 (* (sqrt x) (+ 1 (sqrt x)))))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ -1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (- (* 1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (- (* x (+ (* -1 (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (- (* x (+ (* x (- (* x (- (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (* -1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -1 (+ 1 (sqrt x)))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (* -1/2 x) (+ 1 (sqrt x)))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x)))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x)))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* 1/8 x) 1/2)) 1)))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 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 (neg (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (* x (sqrt x))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* x (+ (* -1/16 (* x (sqrt x))) (* 1/8 (sqrt x)))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (+ (* 1/8 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (* 3/8 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (pow (/ 1 x) 3/2))))
#s(approx (pow x -3/2) #s(hole binary64 (pow (/ 1 x) 3/2)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 3))))) (+ (/ 1 (* x (sqrt (/ 1 x)))) (* 3/8 (/ 1 (* (pow x 5) (pow (sqrt (/ 1 x)) 5))))))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (* (* (/ 1 (* x x)) (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (/ 1 (* x x)) (sqrt x)) #s(hole binary64 (/ (sqrt (/ 1 x)) x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (/ (- (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* (pow x 2) (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (/ (- (+ (* -1/2 (/ (+ 1 (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* (pow x 3) (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))) (sqrt (/ 1 x)))))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (sqrt (/ 1 x))))))))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* (pow x 4) (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (- (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (sqrt (/ 1 x))))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* (pow x 4) (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 3) (sqrt (/ 1 x))))))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (+ (* -1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 3))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 9)))) (* 1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))))) (pow x 3))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt (/ 1 x)) 9))) (+ (* 1/64 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (pow (sqrt (/ 1 x)) 10))) (* 1/2 (/ (* (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (- (* 1/32 (/ 1 (pow (sqrt (/ 1 x)) 7))) (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (pow (sqrt (/ 1 x)) 9))))) (pow (sqrt (/ 1 x)) 3))))) (pow x 6))) (+ (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))))) (+ (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 9)))) (* 1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))))) (pow x 3))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 2)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (/ 1 (* x (sqrt (/ 1 x)))))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (sqrt (/ 1 x)))) x)))))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1/2 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 3/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (/ 1 (sqrt (/ 1 x))))) x)))))
#s(approx (* (* (/ 1 (* x x)) (sqrt x)) 1/2) #s(hole binary64 (* -1/2 (/ (sqrt (/ 1 x)) x))))
#s(approx (* (/ 1 (* x x)) (sqrt x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (- (* -1 (sqrt (/ 1 x))) (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (- (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (- (+ (* -1 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (- (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 3))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))) (sqrt (/ 1 x)))))
#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 3))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 (- x -1))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt (/ 1 x)) 2)))) (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (pow x 3)))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (- x -1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (/ -1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 3)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 9)))) (* 1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))))) (pow x 3)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt (/ 1 x)) 9))) (+ (* 1/64 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (pow (sqrt (/ 1 x)) 10))) (* 1/2 (/ (* (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (- (* 1/32 (/ 1 (pow (sqrt (/ 1 x)) 7))) (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (pow (sqrt (/ 1 x)) 9))))) (pow (sqrt (/ 1 x)) 3))))) (pow x 6))) (+ (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))))) (+ (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 9)))) (* 1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))))) (pow x 3)))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
67.0ms	x	@	0	((- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (pow x -3/2) 1/2) (pow x -3/2) x -3/2 1/2 (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (sqrt x)) (sqrt x) (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (* (/ 1 (* x x)) (sqrt x)) 1/2) (* (/ 1 (* x x)) (sqrt x)) (/ 1 (* x x)) 1 (* x x) (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/ 1 x) (neg (sqrt (/ 1 (- x -1)))) (sqrt (/ 1 (- x -1))) (/ 1 (- x -1)) (- x -1) -1 (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (neg (sqrt x)) (* (sqrt x) (neg (sqrt (- x -1)))))
16.0ms	x	@	-inf	((- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (pow x -3/2) 1/2) (pow x -3/2) x -3/2 1/2 (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (sqrt x)) (sqrt x) (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (* (/ 1 (* x x)) (sqrt x)) 1/2) (* (/ 1 (* x x)) (sqrt x)) (/ 1 (* x x)) 1 (* x x) (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/ 1 x) (neg (sqrt (/ 1 (- x -1)))) (sqrt (/ 1 (- x -1))) (/ 1 (- x -1)) (- x -1) -1 (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (neg (sqrt x)) (* (sqrt x) (neg (sqrt (- x -1)))))
14.0ms	x	@	inf	((- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (pow x -3/2) 1/2) (pow x -3/2) x -3/2 1/2 (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (sqrt x)) (sqrt x) (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (* (* (/ 1 (* x x)) (sqrt x)) 1/2) (* (/ 1 (* x x)) (sqrt x)) (/ 1 (* x x)) 1 (* x x) (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/ 1 x) (neg (sqrt (/ 1 (- x -1)))) (sqrt (/ 1 (- x -1))) (/ 1 (- x -1)) (- x -1) -1 (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (neg (sqrt (- x -1))) (sqrt (- x -1)) (neg (sqrt x)) (* (sqrt x) (neg (sqrt (- x -1)))))

Time

Variable

Point

Expression

67.0ms

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

16.0ms

-inf

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

14.0ms

inf

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

rewrite223.0ms (5.5%)

Memory

10.3MiB live, 199.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	5934
0	774	5056
1	5074	4247
0	8532	4100

Stop Event

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

Counts

167 → 380

Calls

Call 1

Inputs
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
x
#s(literal -3/2 binary64)
#s(literal 1/2 binary64)
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(neg.f64 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ 1 (* x (+ 1 (/ 1 (sqrt x)))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (/ (+ (* x (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* x (- (+ (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (+ (* x (- (+ (* -1 (/ (* (+ 1/2 (/ 1 (sqrt x))) (+ (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 1/2 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))))) (+ 1 (/ 1 (sqrt x))))) (* 5/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))) (+ 1 (/ 1 (sqrt x))))) (+ (* 1/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2))) (* 3/16 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 3))))))) (/ 1 (* (sqrt x) (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (* 3/8 (/ 1 (pow (+ 1 (/ 1 (sqrt x))) 2)))))) (/ 1 (+ 1 (/ 1 (sqrt x)))))) (/ 1 (+ 1 (/ 1 (sqrt x))))) x)))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (pow x -3/2))))
#s(approx (pow x -3/2) #s(hole binary64 (pow x -3/2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (* (/ 1 (* x x)) (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
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#s(approx (/ 1 (- x -1)) #s(hole binary64 (+ 1 (* -1 x))))
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#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (- (+ (* 1/2 (sqrt (/ 1 x))) (/ 1/8 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/2 (* x (sqrt (/ 1 x)))))))
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#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (pow (/ 1 x) 3/2))))
#s(approx (pow x -3/2) #s(hole binary64 (pow (/ 1 x) 3/2)))
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
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#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (sqrt (/ 1 x)))))))
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#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
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#s(approx (* (/ 1 (* x x)) (sqrt x)) #s(hole binary64 (/ (sqrt (/ 1 x)) x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/2 (/ 1 (* x (sqrt (/ 1 x)))))) (pow x 2))))
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#s(approx (neg (sqrt (/ 1 (- x -1)))) #s(hole binary64 (- (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 3) (sqrt (/ 1 x))))))))
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#s(approx (/ 1 (- x -1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
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#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
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#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x)))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -2 (* x (sqrt (/ 1 x))))))
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#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5))))))))))
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#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))))))))
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#s(approx (sqrt (- x -1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* -1 (* (pow x 2) (pow (sqrt (/ 1 x)) 2)))))
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#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (pow (sqrt (/ 1 x)) 2)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 2))))) (+ (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
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#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (* 1/8 (/ 1 (* x (sqrt (/ 1 x))))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) #s(hole binary64 (+ (* -1 (/ (- (+ (/ 1/8 (* x (sqrt (/ 1 x)))) (/ 3/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)) (* -1/2 (sqrt (/ 1 x))))))
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#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (+ (* -1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (pow x 3)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3)))) (+ (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 9)))) (* 1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))))) (pow x 3)))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/64 (/ 1 (pow (sqrt (/ 1 x)) 9))) (+ (* 1/64 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (pow (sqrt (/ 1 x)) 10))) (* 1/2 (/ (* (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (- (* 1/32 (/ 1 (pow (sqrt (/ 1 x)) 7))) (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (pow (sqrt (/ 1 x)) 9))))) (pow (sqrt (/ 1 x)) 3))))) (pow x 6))) (+ (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 7)))) (* 1/2 (/ 1 (pow (sqrt (/ 1 x)) 3))))) (+ (* -1/8 (/ (pow (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 9)))) (* 1/4 (/ (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 x)))) (* (pow x 2) (pow (sqrt (/ 1 x)) 6)))))) (pow x 3)))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (* -1 (/ (- (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x)))))) x))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) #s(hole binary64 (* -1 (/ (- (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7))))) (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5)))))) x))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))) (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (neg (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))

Outputs
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64))))
x
#s(literal -3/2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (.f64 x x)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -3/2 binary64))
(pow.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -3/4 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) #s(literal 4 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 4 binary64))) (sinh.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 4 binary64))))
#s(literal 1 binary64)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (pow.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (sqrt.f64 x) x)))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (sqrt.f64 x) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
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#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (sqrt.f64 x)))
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#s(approx (neg (sqrt (- x -1))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
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#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)))
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#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
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#s(approx (* (pow x -3/2) 1/2) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (pow x -3/2) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/.f64 (sqrt.f64 x) x))
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#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64)))
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#s(approx (/ 1 (- x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x))
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#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
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#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 #s(literal -2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) x)))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))) x))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))))) x))
#s(approx (neg (sqrt (- x -1))) (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 x) x)))
#s(approx (neg (sqrt (- x -1))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
#s(approx (neg (sqrt (- x -1))) (.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))) x))
#s(approx (neg (sqrt (- x -1))) (.f64 (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (sqrt (- x -1)) (.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (sqrt (- x -1)) (.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (.f64 x x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) x) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (* (sqrt x) (neg (sqrt (- x -1)))) (.f64 (-.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) x) #s(literal 1/8 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 x x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 x)) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) (sqrt.f64 x)) x)) (neg.f64 (/.f64 (sqrt.f64 x) x))))
#s(approx (* (pow x -3/2) 1/2) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))
#s(approx (pow x -3/2) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (neg.f64 (/.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 x) x)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x)) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (*.f64 x x) x)))) (/.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)))
#s(approx (neg (sqrt (/ 1 (- x -1)))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 (*.f64 x x) x)))) (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt (/ 1 (- x -1))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) x)) (sqrt.f64 x))) (.f64 (.f64 x x) x))) (/.f64 (sqrt.f64 x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (/ 1 (- x -1)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x -1)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal -1/2 binary64)))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (.f64 (*.f64 x x) x))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))) #s(literal 1/4 binary64)))) (.f64 (.f64 x x) x))))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9/2 binary64)) #s(literal 1/64 binary64) (fma.f64 (.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5 binary64))) #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) #s(literal 1/32 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9/2 binary64))))) (.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 x) x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))))) (fma.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9/2 binary64)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 x x))) #s(literal 1/4 binary64)))) (.f64 (*.f64 x x) x))))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x)))
#s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x)))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 2 binary64)))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))) x))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))))))
#s(approx (+ (neg (sqrt (- x -1))) (neg (sqrt x))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))))))
#s(approx (neg (sqrt (- x -1))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))))
#s(approx (neg (sqrt (- x -1))) (.f64 (neg.f64 x) (-.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (/.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))
#s(approx (sqrt (- x -1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))))

eval189.0ms (4.7%)

Memory: -66.0MiB live, 79.8MiB allocated; 159ms collecting garbage
Compiler: Compiled 5 607 to 1 853 computations (67% saved)

prune52.0ms (1.3%)

Memory

-2.2MiB live, 51.8MiB allocated; 9ms collecting garbage

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	372	12	384
Fresh	9	11	20
Picked	1	4	5
Done	0	0	0
Total	382	27	409

Accuracy

100.0%

Counts

409 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	9.5%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
	36.5%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	36.5%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	34.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	34.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
	36.5%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
	34.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	34.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	70.3%	(/.f64 #s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	95.9%	(/.f64 #s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
	22.3%	(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	27.5%	(-.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	36.5%	(.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
	34.5%	(.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64))))))
	95.8%	#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
	7.9%	#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) x)))
	94.2%	#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	95.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	78.7%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
✓	96.1%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	95.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
	79.8%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
✓	78.6%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
	60.6%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
✓	5.9%	#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	78.8%	#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))

Compiler

Compiled 1 613 to 773 computations (52.1% saved)

regimes55.0ms (1.4%)

Memory

0.7MiB live, 44.3MiB allocated; 5ms collecting garbage

Counts

79 → 2

Calls

Call 1

Inputs
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(-.f64 (/.f64 (sqrt.f64 x) x) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) #s(literal 1/2 binary64))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (/.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
(-.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))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #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 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 #s(approx (* (sqrt x) (/ 1 x)) (/.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 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)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) (*.f64 (sqrt.f64 x) x)))
(-.f64 #s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ 1 x) (sqrt x)) (neg (sqrt (/ 1 (- x -1))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 x (-.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))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) x)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (exp.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(-.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) x)) (.f64 (sqrt.f64 x) x)))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) x)) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) x)))
(.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(approx (/ (- (- x -1) x) (+ (neg (sqrt (- x -1))) (neg (sqrt x)))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (/ (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (* (sqrt x) (neg (sqrt (- x -1))))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.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) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 (sqrt.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #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) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
(/.f64 #s(approx (- (* 1 (neg (sqrt (- x -1)))) (* (sqrt x) -1)) (/.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)))))) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))

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

Outputs

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

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

Calls

2 calls:

32.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
18.0ms	x

Results

Accuracy	Segments	Branch
99.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.9%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes45.0ms (1.1%)

Memory

-5.1MiB live, 41.9MiB allocated; 1ms collecting garbage

Counts

59 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

14.0ms	x
10.0ms	(-.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
99.9%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
99.9%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes23.0ms (0.6%)

Memory

44.3MiB live, 44.3MiB allocated; 0ms collecting garbage

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

12.0ms	x
8.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
98.7%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.7%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes25.0ms (0.6%)

Memory

-16.8MiB live, 34.5MiB allocated; 7ms collecting garbage

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	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
98.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes17.0ms (0.4%)

Memory

-15.6MiB live, 30.1MiB allocated; 3ms collecting garbage

Counts

33 → 2

Calls

Call 1

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

Outputs

(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))))

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

Calls

2 calls:

10.0ms	x
6.0ms	(-.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
98.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes15.0ms (0.4%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	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
98.6%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.6%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes61.0ms (1.5%)

Memory

-21.0MiB live, 25.2MiB allocated; 3ms collecting garbage

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

54.0ms	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
98.2%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.2%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes9.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

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
95.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
95.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes7.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
95.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
95.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes36.0ms (0.9%)

Memory

-40.6MiB live, 6.5MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

34.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
95.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
95.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
94.2%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
7.9%	1	`x`
7.9%	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)

regimes3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Accuracy

Total -2.2b remaining (-3.6%)

Threshold costs -2.2b (-3.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (- (/ (sqrt x) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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
5.9%	1	`x`
5.9%	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)

bsearch11.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	888654964108744.6	131048126907316340.0

Samples

7.0ms

80×

valid

Compiler

Compiled 254 to 187 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 2.0ms (40.1% of total)

adjust: 1.0ms (20.1% of total)

ival-div!: 1.0ms (20.1% of total)

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

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	888654964108744.6	131048126907316340.0

Compiler

Compiled 152 to 111 computations (27% saved)

bsearch13.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	77551434.60417552	1194295441.7864642

Samples

8.0ms

96×

valid

Compiler

Compiled 278 to 216 computations (22.3% saved)

Precisions

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

ival-sqrt: 2.0ms (33.8% of total)

ival-div!: 2.0ms (33.8% of total)

adjust: 1.0ms (16.9% of total)

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

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

bsearch10.0ms (0.3%)

Memory

-42.6MiB live, 10.1MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	77551434.60417552	1194295441.7864642

Samples

4.0ms

48×

valid

Compiler

Compiled 266 to 210 computations (21.1% saved)

Precisions

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

adjust: 1.0ms (33.2% of total)

ival-sqrt: 1.0ms (33.2% of total)

ival-div!: 1.0ms (33.2% of total)

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

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

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	77551434.60417552	1194295441.7864642

Compiler

Compiled 254 to 204 computations (19.7% saved)

bsearch5.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	77551434.60417552	1194295441.7864642

Samples

3.0ms

32×

valid

Compiler

Compiled 248 to 198 computations (20.2% saved)

Precisions

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

ival-sqrt: 1.0ms (50.3% of total)

ival-div!: 1.0ms (50.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	77551434.60417552	1194295441.7864642

Compiler

Compiled 254 to 204 computations (19.7% saved)

bsearch13.0ms (0.3%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	17244386.196537945	77551434.60417552

Samples

8.0ms

96×

valid

Compiler

Compiled 284 to 234 computations (17.6% saved)

Precisions

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

ival-sqrt: 3.0ms (50.2% of total)

ival-div!: 2.0ms (33.4% of total)

adjust: 1.0ms (16.7% of total)

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

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

derivations566.0ms (14%)

Memory

-18.7MiB live, 541.2MiB allocated; 100ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 188 to 105 computations (44.1% saved)

preprocess109.0ms (2.7%)

Memory: 44.5MiB live, 324.6MiB allocated; 31ms collecting garbage
Compiler: Compiled 218 to 129 computations (40.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample1.5s (37.1%)

preprocess40.0ms (1%)

series7.0ms (0.2%)

rewrite181.0ms (4.5%)

eval12.0ms (0.3%)

prune31.0ms (0.8%)

series29.0ms (0.7%)

rewrite218.0ms (5.4%)

eval62.0ms (1.5%)

prune27.0ms (0.7%)

series26.0ms (0.6%)

rewrite173.0ms (4.3%)

eval94.0ms (2.3%)

prune24.0ms (0.6%)

series100.0ms (2.5%)

rewrite223.0ms (5.5%)

eval189.0ms (4.7%)

prune52.0ms (1.3%)

regimes55.0ms (1.4%)

regimes45.0ms (1.1%)

regimes23.0ms (0.6%)

regimes25.0ms (0.6%)

regimes17.0ms (0.4%)

regimes15.0ms (0.4%)

regimes61.0ms (1.5%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes7.0ms (0.2%)

regimes36.0ms (0.9%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch11.0ms (0.3%)

bsearch1.0ms (0%)

bsearch13.0ms (0.3%)

bsearch10.0ms (0.3%)

bsearch1.0ms (0%)

bsearch5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch13.0ms (0.3%)

derivations566.0ms (14%)

preprocess109.0ms (2.7%)

end0.0ms (0%)

Profiling