Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze8.0ms (0.2%)

Memory

-40.3MiB live, 3.6MiB allocated; 8ms 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)

sample1.7s (43.1%)

Memory

87.0MiB live, 2 253.2MiB allocated; 688ms collecting garbage

Samples

817.0ms	6 169×	1	valid
411.0ms	1 973×	2	valid
5.0ms	114×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 914.0ms

ival-sqrt: 315.0ms (34.5% of total)

adjust: 256.0ms (28% of total)

ival-div!: 254.0ms (27.8% of total)

ival-sub!: 47.0ms (5.1% of total)

ival-add!: 42.0ms (4.6% of total)

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

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

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

Bogosity

preprocess96.0ms (2.4%)

Memory

14.7MiB live, 59.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	50	32
2	158	32
3	656	32

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 20 to 16 computations (20% saved)

series7.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB 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))

rewrite195.0ms (4.9%)

Memory

-25.2MiB live, 197.8MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	1177
0	212	1079
1	1146	966
0	8170	925

Stop Event

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

Counts

48 → 117

Calls

Call 1

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

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

eval11.0ms (0.3%)

Memory: 30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 212 to 494 computations (59.2% saved)

prune27.0ms (0.7%)

Memory

-13.9MiB live, 53.1MiB allocated; 13ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	88	24	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	24	113

Accuracy

67.5%

Counts

113 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
	26.4%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
▶	38.1%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	35.7%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))))
▶	26.4%	(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
	23.5%	(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	7.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
	23.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
	38.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	5.7%	(-.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)))))
	24.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
	27.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	7.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))))
	3.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
	4.9%	(-.f64 (/.f64 #s(literal 1 binary64) (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)))
▶	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
	20.8%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	28.0%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	7.4%	(-.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	19.4%	(-.f64 #s(approx (/ 1 (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	29.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (*.f64 x x) x)))
	30.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
	32.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
▶	34.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))

Compiler

Compiled 862 to 726 computations (15.8% saved)

series168.0ms (4.2%)

Memory

11.5MiB live, 146.5MiB allocated; 24ms collecting garbage

Counts

37 → 142

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
94.0ms	x	@	0	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (* 1 (sqrt (- x -1))) 1 (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) 1) (sqrt x) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (exp (* (log (sqrt x)) -1)) (/ 1 (sqrt (+ x 1)))) (exp (* (log (sqrt x)) -1)) (* (log (sqrt x)) -1) (log (sqrt x)) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))))
49.0ms	x	@	-inf	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (* 1 (sqrt (- x -1))) 1 (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) 1) (sqrt x) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (exp (* (log (sqrt x)) -1)) (/ 1 (sqrt (+ x 1)))) (exp (* (log (sqrt x)) -1)) (* (log (sqrt x)) -1) (log (sqrt x)) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))))
22.0ms	x	@	inf	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (* 1 (sqrt (- x -1))) 1 (sqrt (- x -1)) (- x -1) x -1 (* (sqrt x) 1) (sqrt x) (sqrt (* x (- x -1))) (* x (- x -1)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (* x x) x)) 1/2 (* (* x x) x) (* x x) (* (sqrt x) x) (- (exp (* (log (sqrt x)) -1)) (/ 1 (sqrt (+ x 1)))) (exp (* (log (sqrt x)) -1)) (* (log (sqrt x)) -1) (log (sqrt x)) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt (- x -1))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (* (sqrt (- x -1)) (sqrt (- x -1))))

Time

Variable

Point

Expression

94.0ms

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

49.0ms

-inf

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

22.0ms

inf

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

rewrite329.0ms (8.3%)

Memory

-69.3MiB live, 252.3MiB allocated; 183ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	6097
0	785	5075
1	4623	4485
0	8368	4331

Stop Event

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

Counts

179 → 500

Calls

Call 1

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

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

eval54.0ms (1.4%)

Memory: 43.1MiB live, 127.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 6 753 to 2 083 computations (69.2% saved)

prune19.0ms (0.5%)

Memory

-23.2MiB live, 42.0MiB allocated; 9ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	435	9	444
Fresh	16	3	19
Picked	4	1	5
Done	0	0	0
Total	455	13	468

Accuracy

99.9%

Counts

468 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(/.f64 (/.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 (-.f64 x #s(literal -1 binary64)))))
▶	38.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	78.0%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	38.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	28.0%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	77.8%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
▶	5.7%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	32.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
	96.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) x)))
	32.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (sqrt.f64 x))))
✓	34.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
▶	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
	96.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))))

Compiler

Compiled 446 to 406 computations (9% saved)

series14.0ms (0.4%)

Memory

-16.8MiB live, 28.6MiB allocated; 7ms collecting garbage

Counts

24 → 97

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (sqrt x) x (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (* (* (/ 1 (* x x)) (sqrt x)) 1/2) (* (/ 1 (* x x)) (sqrt x)) (/ 1 (* x x)) 1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x)) (* (- x -1) x))
3.0ms	x	@	inf	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (sqrt x) x (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (* (* (/ 1 (* x x)) (sqrt x)) 1/2) (* (/ 1 (* x x)) (sqrt x)) (/ 1 (* x x)) 1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x)) (* (- x -1) x))
3.0ms	x	@	0	((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ (/ 1/2 (sqrt x)) x) (/ 1/2 (sqrt x)) 1/2 (sqrt x) x (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (* (* (/ 1 (* x x)) (sqrt x)) 1/2) (* (/ 1 (* x x)) (sqrt x)) (/ 1 (* x x)) 1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))) (sqrt (- x -1)) (- x -1) -1 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x)) (* (- x -1) x))

Time

Variable

Point

Expression

7.0ms

-inf

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

3.0ms

inf

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

3.0ms

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

rewrite245.0ms (6.2%)

Memory

31.1MiB live, 212.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	3784
0	572	3145
1	3321	2617
0	9701	2519

Stop Event

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

Counts

121 → 337

Calls

Call 1

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

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

eval84.0ms (2.1%)

Memory: 4.2MiB live, 92.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 807 to 1 646 computations (65.8% saved)

prune20.0ms (0.5%)

Memory

-14.4MiB live, 50.4MiB allocated; 9ms collecting garbage

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	428	7	435
Fresh	3	4	7
Picked	0	5	5
Done	0	1	1
Total	431	17	448

Accuracy

100.0%

Counts

448 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
✓	38.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	78.0%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
✓	38.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	28.0%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	77.9%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
▶	97.8%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
✓	77.8%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x)) #s(literal 1/2 binary64)))
✓	5.7%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	32.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
▶	96.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) x)))
▶	32.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (sqrt.f64 x))))
✓	34.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
✓	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))))
	97.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 #s(approx (/ 1/2 (sqrt x)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))) x)))
▶	96.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))

Compiler

Compiled 520 to 487 computations (6.3% saved)

series43.0ms (1.1%)

Memory

10.3MiB live, 101.2MiB allocated; 11ms collecting garbage

Counts

26 → 53

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (* (pow x -3/2) 1/2) (pow x -3/2) x -3/2 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/ (* 1/2 (sqrt x)) (* x x)) (* 1/2 (sqrt x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (* (/ 1 (sqrt x)) x) x)) (* (* (/ 1 (sqrt x)) x) x) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (/ (* x x) (sqrt x))) (/ 1/2 (* (* x x) x)) (* (* x x) x) (/ (* x x) (sqrt x)))
14.0ms	x	@	inf	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (* (pow x -3/2) 1/2) (pow x -3/2) x -3/2 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/ (* 1/2 (sqrt x)) (* x x)) (* 1/2 (sqrt x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (* (/ 1 (sqrt x)) x) x)) (* (* (/ 1 (sqrt x)) x) x) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (/ (* x x) (sqrt x))) (/ 1/2 (* (* x x) x)) (* (* x x) x) (/ (* x x) (sqrt x)))
11.0ms	x	@	-inf	((/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (* (pow x -3/2) 1/2) (pow x -3/2) x -3/2 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/ 1/2 (* (sqrt x) x)) (* (sqrt x) x) (sqrt x) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/ (* 1/2 (sqrt x)) (* x x)) (* 1/2 (sqrt x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1/2 (* (* (/ 1 (sqrt x)) x) x)) (* (* (/ 1 (sqrt x)) x) x) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) 1 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ 1/2 (* (* x x) x)) (/ (* x x) (sqrt x))) (/ 1/2 (* (* x x) x)) (* (* x x) x) (/ (* x x) (sqrt x)))

Time

Variable

Point

Expression

17.0ms

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

14.0ms

inf

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

11.0ms

-inf

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

rewrite188.0ms (4.7%)

Memory

-29.5MiB live, 258.0MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	277	1706
0	309	1500
1	1468	1323
0	8130	1288

Stop Event

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

Counts

79 → 356

Calls

Call 1

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

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

eval31.0ms (0.8%)

Memory: 45.3MiB live, 90.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 919 to 1 434 computations (50.9% saved)

prune25.0ms (0.6%)

Memory

-31.3MiB live, 61.2MiB allocated; 7ms collecting garbage

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	333	7	340
Fresh	1	5	6
Picked	1	4	5
Done	1	5	6
Total	336	21	357

Accuracy

100.0%

Counts

357 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.3%	(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
✓	38.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	78.0%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
✓	38.1%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	28.0%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	78.0%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
✓	77.9%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x)))
✓	97.8%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
	77.8%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x)))
✓	5.7%	#s(approx (- (/ (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1))))) (/ (/ 1 (* (sqrt (- x -1)) (sqrt (- x -1)))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (- x -1)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
	30.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x (/.f64 #s(literal 5/16 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 7/2 binary64)) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (/.f64 #s(literal 35/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 9 binary64) (.f64 (log.f64 x) #s(literal 6 binary64)))))) (.f64 (.f64 x x) x)))
	32.8%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (.f64 x x)))) (.f64 (.f64 x x) x)))
	97.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) x))
	27.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 x) (.f64 (*.f64 x x) x))))
✓	96.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) x)))
	96.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (.f64 #s(approx ( (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))) x)))
✓	34.1%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) x)) (.f64 (sqrt.f64 x) x)))
	97.3%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
✓	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
	97.4%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))))
✓	96.2%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (* (/ 1/2 (* (* x x) x)) (* (sqrt x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x))))

Compiler

Compiled 983 to 613 computations (37.6% saved)

regimes73.0ms (1.8%)

Memory

9.0MiB live, 58.9MiB allocated; 6ms collecting garbage

Counts

48 → 2

Calls

Call 1

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

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

Outputs

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

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

Calls

2 calls:

58.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
12.0ms	x

Results

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes64.0ms (1.6%)

Memory

20.6MiB live, 55.2MiB allocated; 15ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

57.0ms	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
97.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.8%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes45.0ms (1.1%)

Memory

-2.8MiB live, 42.3MiB allocated; 9ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
6.0ms	x

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.5%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes6.0ms (0.1%)

Memory

10.2MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
97.4%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.2%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Accuracy

Total -2.0b remaining (-3.3%)

Threshold costs -2b (-3.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
5.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
5.7%	1	`x`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch27.0ms (0.7%)

Memory

-24.8MiB live, 5.6MiB allocated; 21ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
26.0ms	2920344958351233.0	5799525427479709.0

Samples

3.0ms

32×

valid

Compiler

Compiled 76 to 72 computations (5.3% saved)

Precisions

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

ival-sqrt: 1.0ms (48.5% of total)

ival-div!: 1.0ms (48.5% of total)

adjust: 0.0ms (0% of total)

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

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

derivations389.0ms (9.8%)

Memory

34.4MiB live, 285.4MiB allocated; 106ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 104 to 62 computations (40.4% saved)

preprocess82.0ms (2.1%)

Memory: 1.1MiB live, 138.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 134 to 86 computations (35.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.2%)

sample1.7s (43.1%)

preprocess96.0ms (2.4%)

series7.0ms (0.2%)

rewrite195.0ms (4.9%)

eval11.0ms (0.3%)

prune27.0ms (0.7%)

series168.0ms (4.2%)

rewrite329.0ms (8.3%)

eval54.0ms (1.4%)

prune19.0ms (0.5%)

series14.0ms (0.4%)

rewrite245.0ms (6.2%)

eval84.0ms (2.1%)

prune20.0ms (0.5%)

series43.0ms (1.1%)

rewrite188.0ms (4.7%)

eval31.0ms (0.8%)

prune25.0ms (0.6%)

regimes73.0ms (1.8%)

regimes64.0ms (1.6%)

regimes45.0ms (1.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.7%)

derivations389.0ms (9.8%)

preprocess82.0ms (2.1%)

end0.0ms (0%)

Profiling