Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB 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 (39%)

Memory

45.3MiB live, 1 109.5MiB allocated; 265ms collecting garbage

Samples

732.0ms	6 187×	1	valid
376.0ms	1 948×	2	valid
5.0ms	121×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 881.0ms

ival-sqrt: 320.0ms (36.3% of total)

ival-div!: 238.0ms (27% of total)

adjust: 206.0ms (23.4% of total)

ival-sub!: 76.0ms (8.6% of total)

ival-add!: 41.0ms (4.7% of total)

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

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

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

Bogosity

preprocess61.0ms (1.6%)

Memory

-54.5MiB live, 14.9MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	68	27
2	294	27
3	1669	24

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)))))

Symmetry

(abs x)

(negabs x)

Compiler

Compiled 20 to 16 computations (20% saved)

series7.0ms (0.2%)

Memory

5.8MiB live, 5.8MiB 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))

rewrite230.0ms (6.2%)

Memory

23.3MiB live, 116.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1177
0	212	1071
1	1347	1006
2	6005	904
0	8966	871
1	21482	871

Stop Event

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

Counts

48 → 227

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

eval23.0ms (0.6%)

Memory: -15.0MiB live, 30.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 897 to 693 computations (63.5% saved)

prune16.0ms (0.4%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	201	19	220
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	19	221

Accuracy

72.6%

Counts

221 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	8.2%	(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	9.4%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
▶	22.3%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	19.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	22.7%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) 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)))
	20.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (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) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
▶	2.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #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)))))
	20.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (fma.f64 #s(literal -35/128 binary64) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9/2 binary64)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal -3/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) x) x)))) (*.f64 x x))) x))
	28.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (/.f64 #s(literal -3/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) x) x))) (.f64 x x))) x))
	42.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) x) x)) (*.f64 x x))) x))
▶	60.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))

Compiler

Compiled 588 to 516 computations (12.2% saved)

series26.0ms (0.7%)

Memory

-27.9MiB live, 28.5MiB allocated; 8ms collecting garbage

Counts

28 → 116

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
14.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (sqrt (* (* x x) x))) 1/2 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) (/ 1 (sqrt (+ x 1))) (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (sqrt (* (- x -1) x)) (* (- x -1) x) (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (+ (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (/ -1 (sqrt (- x -1)))) (sqrt (/ 1 (sqrt x))) (/ -1 (sqrt (- x -1))))
5.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (sqrt (* (* x x) x))) 1/2 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) (/ 1 (sqrt (+ x 1))) (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (sqrt (* (- x -1) x)) (* (- x -1) x) (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (+ (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (/ -1 (sqrt (- x -1)))) (sqrt (/ 1 (sqrt x))) (/ -1 (sqrt (- x -1))))
4.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (sqrt (* (* x x) x))) 1/2 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) (/ 1 (sqrt (+ x 1))) (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (sqrt (* (- x -1) x)) (* (- x -1) x) (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (/ 1 (sqrt x))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (+ (* (sqrt (/ 1 (sqrt x))) (sqrt (/ 1 (sqrt x)))) (/ -1 (sqrt (- x -1)))) (sqrt (/ 1 (sqrt x))) (/ -1 (sqrt (- x -1))))

Time

Variable

Point

Expression

14.0ms

inf

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

5.0ms

-inf

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

4.0ms

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

rewrite192.0ms (5.1%)

Memory

34.5MiB live, 124.9MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	518	3879
0	559	3376
1	3646	2864
0	10016	2754
1	19211	2754

Stop Event

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

Counts

144 → 448

Calls

Call 1

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

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

eval68.0ms (1.8%)

Memory: -21.2MiB live, 119.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 5 130 to 1 589 computations (69% saved)

prune40.0ms (1.1%)

Memory

18.6MiB live, 55.5MiB allocated; 17ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	509	23	532
Fresh	10	4	14
Picked	3	2	5
Done	0	0	0
Total	522	29	551

Accuracy

99.9%

Counts

551 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.4%	(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	9.4%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	34.5%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	7.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
▶	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	34.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	8.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	40.7%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	28.5%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	54.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	78.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	19.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (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)))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	34.5%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) 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 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	94.2%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	28.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (/.f64 #s(literal -3/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) x) x))) (.f64 x x))) x))
▶	95.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
	93.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -3 binary64))))
▶	93.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x (sqrt.f64 (/.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 x))))
▶	78.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (sqrt.f64 x) x) (.f64 x x))))
	94.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 x)))))
✓	60.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))
	95.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))
	78.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))

Compiler

Compiled 920 to 861 computations (6.4% saved)

series19.0ms (0.5%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

24 → 83

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 x) (sqrt x)) (/ 1/2 x) 1/2 x (sqrt x) (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (/ (sqrt x) x) (* x x))) (* (/ (sqrt x) x) (* x x)) (* x x) (/ (- (sqrt (- x -1)) (sqrt x)) (* (sqrt x) (sqrt (- x -1)))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (* (sqrt x) (sqrt (- x -1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (pow (* x (sqrt (/ (sqrt x) x))) 2)) (pow (* x (sqrt (/ (sqrt x) x))) 2) (* x (sqrt (/ (sqrt x) x))) (sqrt (/ (sqrt x) x)) 2)
5.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 x) (sqrt x)) (/ 1/2 x) 1/2 x (sqrt x) (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (/ (sqrt x) x) (* x x))) (* (/ (sqrt x) x) (* x x)) (* x x) (/ (- (sqrt (- x -1)) (sqrt x)) (* (sqrt x) (sqrt (- x -1)))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (* (sqrt x) (sqrt (- x -1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (pow (* x (sqrt (/ (sqrt x) x))) 2)) (pow (* x (sqrt (/ (sqrt x) x))) 2) (* x (sqrt (/ (sqrt x) x))) (sqrt (/ (sqrt x) x)) 2)
4.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 x) (sqrt x)) (/ 1/2 x) 1/2 x (sqrt x) (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/ (sqrt x) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (/ (sqrt x) x) (* x x))) (* (/ (sqrt x) x) (* x x)) (* x x) (/ (- (sqrt (- x -1)) (sqrt x)) (* (sqrt x) (sqrt (- x -1)))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (* (sqrt x) (sqrt (- x -1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (pow (* x (sqrt (/ (sqrt x) x))) 2)) (pow (* x (sqrt (/ (sqrt x) x))) 2) (* x (sqrt (/ (sqrt x) x))) (sqrt (/ (sqrt x) x)) 2)

Time

Variable

Point

Expression

8.0ms

inf

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

5.0ms

-inf

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

4.0ms

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

rewrite180.0ms (4.8%)

Memory

-30.3MiB live, 114.9MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	2624
0	425	2366
1	2688	2192
0	8280	2122
1	14720	2122

Stop Event

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

Counts

107 → 233

Calls

Call 1

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

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

eval34.0ms (0.9%)

Memory: 6.1MiB live, 50.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 299 to 1 224 computations (62.9% saved)

prune29.0ms (0.8%)

Memory

-6.9MiB live, 39.1MiB allocated; 5ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	310	9	319
Fresh	2	20	22
Picked	2	3	5
Done	0	2	2
Total	314	34	348

Accuracy

99.9%

Counts

348 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.4%	(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	9.4%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	34.5%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
▶	34.4%	(/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	7.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
✓	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	34.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	8.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (.f64 x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	40.7%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	28.5%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	54.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	95.7%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	78.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	19.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (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)))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	34.5%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) 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 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	5.9%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	94.2%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	78.6%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))
▶	5.9%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	28.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (/.f64 #s(literal -3/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) x) x))) (.f64 x x))) x))
	78.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (*.f64 x x)))
✓	95.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
▶	95.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
▶	66.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 x) (.f64 x x)) x)))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 x))))
	94.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 x)))))
✓	60.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))
	95.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))
	93.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))

Compiler

Compiled 1 045 to 977 computations (6.5% saved)

series102.0ms (2.7%)

Memory

10.0MiB live, 67.8MiB allocated; 39ms collecting garbage

Counts

27 → 92

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
57.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 x) (sqrt x)) (/ 1/2 x) 1/2 x (sqrt x) (* (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (/ (* (sqrt x) (* x x)) x)) (/ (* (sqrt x) (* x x)) x) (* (sqrt x) (* x x)) (sqrt x) (* x x) (/ (- (/ (sqrt (- x -1)) (sqrt x)) 1) (sqrt (- x -1))) (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) (pow x -5/2) -5/2 (/ -1 (sqrt (- x -1))))
33.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 x) (sqrt x)) (/ 1/2 x) 1/2 x (sqrt x) (* (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (/ (* (sqrt x) (* x x)) x)) (/ (* (sqrt x) (* x x)) x) (* (sqrt x) (* x x)) (sqrt x) (* x x) (/ (- (/ (sqrt (- x -1)) (sqrt x)) 1) (sqrt (- x -1))) (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) (pow x -5/2) -5/2 (/ -1 (sqrt (- x -1))))
11.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ 1/2 x) (sqrt x)) (/ 1/2 x) 1/2 x (sqrt x) (* (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (/ (* (sqrt x) (* x x)) x)) (/ (* (sqrt x) (* x x)) x) (* (sqrt x) (* x x)) (sqrt x) (* x x) (/ (- (/ (sqrt (- x -1)) (sqrt x)) 1) (sqrt (- x -1))) (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) (pow x -5/2) -5/2 (/ -1 (sqrt (- x -1))))

Time

Variable

Point

Expression

57.0ms

inf

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

33.0ms

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

11.0ms

-inf

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

rewrite188.0ms (5%)

Memory

-12.4MiB live, 123.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	3045
0	481	2769
1	3126	2532
0	8589	2442
1	16319	2442

Stop Event

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

Counts

119 → 235

Calls

Call 1

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

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

eval28.0ms (0.7%)

Memory: 37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 181 to 1 101 computations (65.4% saved)

prune57.0ms (1.5%)

Memory

-20.9MiB live, 32.7MiB allocated; 10ms collecting garbage

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	280	10	290
Fresh	2	22	24
Picked	2	3	5
Done	0	5	5
Total	284	40	324

Accuracy

99.9%

Counts

324 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.4%	(fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	9.5%	(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	34.5%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	7.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))) (.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
	34.4%	(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
✓	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓	34.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	34.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	24.2%	(/.f64 #s(approx (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 x #s(literal -6 binary64)) #s(literal 1/8 binary64)))) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	34.8%	(/.f64 #s(approx (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	80.2%	(/.f64 #s(approx (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	78.8%	(/.f64 #s(approx (- (/ (sqrt (- x -1)) (sqrt x)) 1) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
	28.5%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -6 binary64)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	54.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x))) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	95.7%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	78.9%	(/.f64 #s(approx (- (sqrt (- x -1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	19.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (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)))))
	34.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	28.0%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64))) (pow.f64 x #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) 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)))
	34.5%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) 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 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
	5.9%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	94.2%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
	66.2%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 x) x) x)) x))
	78.6%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))
✓	5.9%	#s(approx (- (/ (/ 1 (/ 1 (sqrt x))) x) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	28.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 5/16 binary64) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -7/2 binary64)) (/.f64 #s(literal -3/8 binary64) (.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) x) x))) (.f64 x x))) x))
	78.6%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)) (*.f64 x x)))
✓	95.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
✓	95.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(approx (sqrt x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
✓	66.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 x) (.f64 x x)) x)))
	78.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 x))))
	94.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 x)))))
✓	60.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 x x) x))))
	95.7%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) x)))
	93.9%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sqrt.f64 x) x)))))
	3.7%	#s(approx (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
	2.5%	#s(approx (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) #s(literal -1 binary64))

Compiler

Compiled 1 356 to 929 computations (31.5% saved)

regimes38.0ms (1%)

Memory

-18.3MiB live, 27.8MiB allocated; 4ms collecting garbage

Counts

62 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

20.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
14.0ms	x

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes18.0ms (0.5%)

Memory

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

Counts

40 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes15.0ms (0.4%)

Memory

-25.8MiB live, 19.9MiB allocated; 2ms collecting garbage

Counts

28 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	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
98.3%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.3%	2	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes13.0ms (0.3%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	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	`x`
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)))))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes11.0ms (0.3%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`x`
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)))))`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes12.0ms (0.3%)

Memory

-28.3MiB live, 18.0MiB allocated; 2ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

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)

regimes10.0ms (0.3%)

Memory

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

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes12.0ms (0.3%)

Memory

-35.1MiB live, 16.0MiB allocated; 7ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms	x

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)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	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
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

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	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
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)

regimes3.0ms (0.1%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) #s(literal -1 binary64))

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

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

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
3.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
3.7%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes2.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) #s(literal -1 binary64))

Outputs
#s(approx (+ (* (* x x) (pow x -5/2)) (/ -1 (sqrt (- x -1)))) #s(literal -1 binary64))

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
2.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
2.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch5.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	888654964108744.6	131048126907316340.0

Samples

3.0ms

32×

valid

Compiler

Compiled 74 to 72 computations (2.7% saved)

Precisions

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

ival-sqrt: 1.0ms (49.7% of total)

ival-div!: 1.0ms (49.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch13.0ms (0.4%)

Memory

8.3MiB live, 8.3MiB 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 182 to 180 computations (1.1% saved)

Precisions

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

ival-sqrt: 2.0ms (33.5% of total)

ival-div!: 2.0ms (33.5% of total)

adjust: 1.0ms (16.8% of total)

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

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.211441428942972e-14	7.321250268359225e-13

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.321250268359225e-13	6.982297905003612e-12

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.321250268359225e-13	6.982297905003612e-12

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch68.0ms (1.8%)

Memory

-38.0MiB live, 8.5MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
66.0ms	17244386.196537945	77551434.60417552

Samples

63.0ms

96×

valid

Compiler

Compiled 182 to 180 computations (1.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

adjust: 56.0ms (92.6% of total)

ival-sqrt: 3.0ms (5% of total)

ival-div!: 2.0ms (3.3% of total)

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

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

derivations373.0ms (10%)

Memory

50.2MiB live, 234.1MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 128 to 80 computations (37.5% saved)

preprocess377.0ms (10.1%)

Memory

-26.1MiB live, 283.3MiB allocated; 184ms collecting garbage

Remove

(negabs x)

(abs x)

Compiler

Compiled 1 302 to 1 148 computations (11.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.5s (39%)

preprocess61.0ms (1.6%)

series7.0ms (0.2%)

rewrite230.0ms (6.2%)

eval23.0ms (0.6%)

prune16.0ms (0.4%)

series26.0ms (0.7%)

rewrite192.0ms (5.1%)

eval68.0ms (1.8%)

prune40.0ms (1.1%)

series19.0ms (0.5%)

rewrite180.0ms (4.8%)

eval34.0ms (0.9%)

prune29.0ms (0.8%)

series102.0ms (2.7%)

rewrite188.0ms (5%)

eval28.0ms (0.7%)

prune57.0ms (1.5%)

regimes38.0ms (1%)

regimes18.0ms (0.5%)

regimes15.0ms (0.4%)

regimes13.0ms (0.3%)

regimes11.0ms (0.3%)

regimes12.0ms (0.3%)

regimes10.0ms (0.3%)

regimes12.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch68.0ms (1.8%)

derivations373.0ms (10%)

preprocess377.0ms (10.1%)

end0.0ms (0%)

Profiling