Metrics for 2isqrt (example 3.6)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.4s (46.1%)

Memory

58.1MiB live, 1 051.3MiB allocated; 290ms collecting garbage

Samples

691.0ms	6 174×	1	valid
373.0ms	1 954×	2	valid
6.0ms	128×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 863.0ms

ival-sqrt: 349.0ms (40.5% of total)

adjust: 241.0ms (27.9% of total)

ival-div!: 175.0ms (20.3% of total)

ival-sub!: 56.0ms (6.5% of total)

ival-add!: 41.0ms (4.8% of total)

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

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

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

Bogosity

preprocess101.0ms (3.4%)

Memory

-0.3MiB live, 44.0MiB allocated; 19ms 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
▶	42.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series7.0ms (0.2%)

Memory

6.4MiB live, 6.4MiB 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))

rewrite178.0ms (5.9%)

Memory

9.9MiB live, 115.0MiB allocated; 15ms 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)))

eval13.0ms (0.4%)

Memory: -27.1MiB live, 19.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 551 to 494 computations (80.6% saved)

prune18.0ms (0.6%)

Memory

28.8MiB live, 28.8MiB allocated; 0ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	87	25	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	25	113

Accuracy

67.8%

Counts

113 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.2%	(/.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))))))))
	29.6%	(/.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))))))
▶	42.2%	(/.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)))))
	30.4%	(-.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)))))))
	34.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
	6.6%	(-.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))))))
▶	24.8%	(-.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)))))
	42.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	6.5%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
	5.5%	(-.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)))))
	26.3%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))))
	23.2%	(-.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))))
	33.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
	6.5%	(-.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))))
	3.2%	(-.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))))
	4.4%	(-.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)))
	23.2%	(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	33.7%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	6.7%	(-.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)))))
	25.1%	(-.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)))))
	25.8%	#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)))
	25.9%	#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)))
	28.6%	#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)))
▶	29.9%	#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 1 136 to 730 computations (35.7% saved)

series71.0ms (2.4%)

Memory

3.3MiB live, 49.9MiB allocated; 3ms collecting garbage

Counts

34 → 120

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 #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 #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 (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 1/4 binary64))
#s(literal 1/4 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 (pow (- x -1) 1/4) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ 1 (* x (+ 1/4 (* -3/32 x))))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))))
#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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (/ -1 (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (* x (sqrt (/ 1 x))))) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (/ 3/8 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (* (pow x 3) (pow (pow (/ 1 x) -1/4) 4)))) (+ (/ 1/4 (* (pow x 3) (pow (pow (/ 1 x) -1/4) 2))) (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (* x (sqrt (/ 1 x))))))) (+ (* 3/8 (/ 1 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2)))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (/ 1 (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (- (/ 1 (pow (pow (/ 1 x) -1/4) 2)) (* 1/2 (/ 1 (* x (pow (pow (/ 1 x) -1/4) 2)))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (- (+ (/ 3/8 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))) (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (pow (pow (/ 1 x) -1/4) 4))) (* 1/4 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) (pow x 3))) (+ (* 3/8 (/ 1 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2)))) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (pow (pow (/ 1 x) -1/4) 2)))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* 1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -3/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* 1/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* 1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -3/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* -3/64 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 3))) (+ (* 1/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* 7/64 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 3))) (+ (* 1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (pow (/ 1 x) -1/4)))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* 1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -3/32 (/ (pow (/ 1 x) -1/4) (pow x 2))) (+ (* 1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4)))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -3/32 (/ (pow (/ 1 x) -1/4) (pow x 2))) (+ (* 7/128 (/ (pow (/ 1 x) -1/4) (pow x 3))) (+ (* 1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4))))))
#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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (* -1 (/ (+ (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (* -1 (/ (+ (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2))) (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* x (pow (pow (/ 1 x) -1/4) 2)))))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (pow (pow (/ 1 x) -1/4) 4))) (* 1/4 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (* 3/8 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (+ (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (sqrt (/ 1 x))))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (+ (* 1/2 (/ 1 (* x (pow (pow (/ 1 x) -1/4) 2)))) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (+ (/ 3/8 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2))) (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (* x (pow (pow (/ 1 x) -1/4) 4)))) (+ (/ 1/4 (* x (pow (pow (/ 1 x) -1/4) 2))) (* 3/8 (/ 1 (pow (pow (/ 1 x) -1/4) 2))))) x)) (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) x)) (* 1/2 (pow (pow (/ 1 x) -1/4) 2))) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/64 (pow (pow (/ 1 x) -1/4) 2)) (* 7/64 (pow (pow (/ 1 x) -1/4) 2))) x)) (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2)))) x)) (* 1/2 (pow (pow (/ 1 x) -1/4) 2))) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* 3/32 (/ (pow (/ 1 x) -1/4) x)) (* 1/4 (pow (/ 1 x) -1/4))) x)) (pow (/ 1 x) -1/4))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (pow (/ 1 x) -1/4)) (* -7/128 (/ (pow (/ 1 x) -1/4) x))) x)) (* 1/4 (pow (/ 1 x) -1/4))) x)) (pow (/ 1 x) -1/4))))

Calls

3 calls:

Time	Variable		Point	Expression
31.0ms	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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) (pow (- x -1) 1/4) 1/4)
26.0ms	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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) (pow (- x -1) 1/4) 1/4)
11.0ms	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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) (pow (- x -1) 1/4) 1/4)

Time

Variable

Point

Expression

31.0ms

((/ (- (* 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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) (pow (- x -1) 1/4) 1/4)

26.0ms

-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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) (pow (- x -1) 1/4) 1/4)

11.0ms

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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) (pow (- x -1) 1/4) 1/4)

rewrite197.0ms (6.5%)

Memory

-26.8MiB live, 159.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	649	4423
0	702	3667
1	3983	3006
0	9537	2884

Stop Event

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

Counts

154 → 515

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 #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 #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 (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 1/4 binary64))
#s(literal 1/4 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)))
#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 (pow (- x -1) 1/4) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ 1 (* x (+ 1/4 (* -3/32 x))))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))))
#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)))
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#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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (/ -1 (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (* x (sqrt (/ 1 x))))) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (* x (sqrt (/ 1 x))))) (+ (/ 3/8 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (* (pow x 3) (pow (pow (/ 1 x) -1/4) 4)))) (+ (/ 1/4 (* (pow x 3) (pow (pow (/ 1 x) -1/4) 2))) (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (* x (sqrt (/ 1 x))))))) (+ (* 3/8 (/ 1 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2)))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (/ 1 (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (- (/ 1 (pow (pow (/ 1 x) -1/4) 2)) (* 1/2 (/ 1 (* x (pow (pow (/ 1 x) -1/4) 2)))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (- (+ (/ 3/8 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))) (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (pow (pow (/ 1 x) -1/4) 4))) (* 1/4 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) (pow x 3))) (+ (* 3/8 (/ 1 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2)))) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (pow (pow (/ 1 x) -1/4) 2)))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* 1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -3/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* 1/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* 1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -3/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* -3/64 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 3))) (+ (* 1/16 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 2))) (+ (* 7/64 (/ (pow (pow (/ 1 x) -1/4) 2) (pow x 3))) (+ (* 1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (pow (/ 1 x) -1/4)))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* 1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -3/32 (/ (pow (/ 1 x) -1/4) (pow x 2))) (+ (* 1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4)))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -3/32 (/ (pow (/ 1 x) -1/4) (pow x 2))) (+ (* 7/128 (/ (pow (/ 1 x) -1/4) (pow x 3))) (+ (* 1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4))))))
#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 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (* -1 (/ (+ (/ 1 (sqrt (/ 1 x))) (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (* -1 (/ (+ (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2))) (+ (/ 1 (sqrt (/ 1 x))) (* 3/8 (/ 1 (* x (pow (pow (/ 1 x) -1/4) 2)))))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)))) #s(hole binary64 (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (pow (pow (/ 1 x) -1/4) 4))) (* 1/4 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (* 3/8 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (+ (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (sqrt (/ 1 x))))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (+ (* 1/2 (/ 1 (* x (pow (pow (/ 1 x) -1/4) 2)))) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (+ (/ 3/8 (* (pow x 2) (pow (pow (/ 1 x) -1/4) 2))) (+ (/ 1/2 (* x (pow (pow (/ 1 x) -1/4) 2))) (/ 1 (pow (pow (/ 1 x) -1/4) 2))))))
#s(approx (/ 1 (* (pow (- x -1) 1/4) (pow (- x -1) 1/4))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) (* x (pow (pow (/ 1 x) -1/4) 4)))) (+ (/ 1/4 (* x (pow (pow (/ 1 x) -1/4) 2))) (* 3/8 (/ 1 (pow (pow (/ 1 x) -1/4) 2))))) x)) (* 1/2 (/ 1 (pow (pow (/ 1 x) -1/4) 2)))) x)) (/ 1 (pow (pow (/ 1 x) -1/4) 2)))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -1/2 (/ (pow (pow (/ 1 x) -1/4) 2) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2))) x)) (* 1/2 (pow (pow (/ 1 x) -1/4) 2))) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (* (pow (- x -1) 1/4) (pow (- x -1) 1/4)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/64 (pow (pow (/ 1 x) -1/4) 2)) (* 7/64 (pow (pow (/ 1 x) -1/4) 2))) x)) (+ (* -3/16 (pow (pow (/ 1 x) -1/4) 2)) (* 1/16 (pow (pow (/ 1 x) -1/4) 2)))) x)) (* 1/2 (pow (pow (/ 1 x) -1/4) 2))) x)) (pow (pow (/ 1 x) -1/4) 2))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -1/4 (/ (pow (/ 1 x) -1/4) x)) (pow (/ 1 x) -1/4))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* 3/32 (/ (pow (/ 1 x) -1/4) x)) (* 1/4 (pow (/ 1 x) -1/4))) x)) (pow (/ 1 x) -1/4))))
#s(approx (pow (- x -1) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (pow (/ 1 x) -1/4)) (* -7/128 (/ (pow (/ 1 x) -1/4) x))) x)) (* 1/4 (pow (/ 1 x) -1/4))) x)) (pow (/ 1 x) -1/4))))

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

eval78.0ms (2.6%)

Memory: -16.7MiB live, 55.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 11 349 to 1 767 computations (84.4% saved)

prune15.0ms (0.5%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	407	9	416
Fresh	18	2	20
Picked	4	1	5
Done	0	0	0
Total	429	12	441

Accuracy

99.9%

Counts

441 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.0%	(/.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)))))
	42.2%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	46.1%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	81.8%	(/.f64 #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))) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	33.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	2.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
▶	33.7%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	81.9%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
▶	3.3%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
▶	81.7%	#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)))
▶	98.1%	#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)))
	97.7%	#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 551 to 376 computations (31.8% saved)

series13.0ms (0.4%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

30 → 104

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	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 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/ -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) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ 1/2 (* (/ 1 (sqrt x)) x)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) (sqrt (* x (- x -1))) (* x (- x -1)) (- x -1))
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 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/ -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) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ 1/2 (* (/ 1 (sqrt x)) x)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) (sqrt (* x (- x -1))) (* x (- x -1)) (- x -1))
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 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/ -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) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/ 1/2 (* (/ 1 (sqrt x)) x)) (* (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) (sqrt (* x (- x -1))) (* x (- x -1)) (- x -1))

Time

Variable

Point

Expression

4.0ms

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

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

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

rewrite167.0ms (5.6%)

Memory

17.0MiB live, 148.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	3292
0	538	2910
1	2862	2541
0	9249	2453

Stop Event

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

Counts

134 → 358

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

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

eval49.0ms (1.6%)

Memory: -45.6MiB live, 58.6MiB allocated; 14ms collecting garbage
Compiler: Compiled 11 342 to 1 593 computations (86% saved)

prune16.0ms (0.5%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	369	12	381
Fresh	1	5	6
Picked	2	3	5
Done	1	0	1
Total	373	20	393

Accuracy

100.0%

Counts

393 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.0%	(/.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)))))
▶	42.2%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	46.1%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.8%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.8%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.8%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
▶	33.6%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	33.7%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	81.8%	#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)))
	81.7%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 x x))))
▶	98.4%	#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)))
✓	81.7%	#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)))
	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
▶	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	98.1%	#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)))
	98.0%	#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) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) x)))
	98.1%	#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))))
	98.1%	#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 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x)))
	97.7%	#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 963 to 654 computations (32.1% saved)

series58.0ms (1.9%)

Memory

-18.3MiB live, 27.8MiB allocated; 3ms collecting garbage

Counts

24 → 101

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

Calls

3 calls:

Time	Variable		Point	Expression
34.0ms	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 (sqrt x)) 1 (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)) (sqrt (/ 1 (- x -1)))) (sqrt (/ 1 (- x -1))) (/ 1 (- x -1)) (- x -1) -1 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (* (- x -1) x)) (* (- x -1) x))
13.0ms	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 (sqrt x)) 1 (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)) (sqrt (/ 1 (- x -1)))) (sqrt (/ 1 (- x -1))) (/ 1 (- x -1)) (- x -1) -1 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (* (- x -1) x)) (* (- x -1) x))
9.0ms	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 (sqrt x)) 1 (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)) (sqrt (/ 1 (- x -1)))) (sqrt (/ 1 (- x -1))) (/ 1 (- x -1)) (- x -1) -1 (/ (- (sqrt (- x -1)) (sqrt x)) (sqrt (* (- x -1) x))) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (sqrt (* (- x -1) x)) (* (- x -1) x))

Time

Variable

Point

Expression

34.0ms

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

13.0ms

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

9.0ms

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

rewrite159.0ms (5.3%)

Memory

8.0MiB live, 148.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3038
0	541	2718
1	3013	2440
0	8471	2356

Stop Event

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

Counts

125 → 288

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

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

eval37.0ms (1.2%)

Memory: 9.0MiB live, 54.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 8 787 to 1 299 computations (85.2% saved)

prune21.0ms (0.7%)

Memory

33.0MiB live, 33.0MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	350	5	355
Fresh	3	9	12
Picked	1	4	5
Done	2	1	3
Total	356	19	375

Accuracy

100.0%

Counts

375 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.0%	(/.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)))
✓	42.2%	(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
	46.1%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (sqrt.f64 x) x)))) x)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.8%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.9%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (sqrt.f64 (.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.8%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (/.f64 x (sqrt.f64 x))))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	81.8%	(/.f64 #s(approx (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt x)) x) (sqrt.f64 x)))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))
	42.1%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
✓	81.8%	#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)))
	79.3%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)))) (*.f64 x x)))
✓	98.4%	#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)))
	98.0%	#s(approx (/ (- (* 1 (sqrt (- x -1))) (* (sqrt x) 1)) (sqrt (* x (- x -1)))) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (sqrt.f64 x) x))
✓	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	5.5%	#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	98.1%	#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)))
	98.0%	#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) #s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))) x)))
	98.1%	#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))))
	97.7%	#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 1 746 to 579 computations (66.8% saved)

regimes41.0ms (1.4%)

Memory

-29.4MiB live, 17.8MiB allocated; 2ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.4%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.4%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Memory

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

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
98.1%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Accuracy

Total -1.8b remaining (-3%)

Threshold costs -1.8b (-3%)

Counts

5 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

derivations289.0ms (9.6%)

Memory

-9.0MiB live, 183.2MiB allocated; 23ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 171 to 52 computations (69.6% saved)

preprocess59.0ms (2%)

Memory: -17.4MiB live, 126.7MiB allocated; 23ms collecting garbage
Compiler: Compiled 206 to 76 computations (63.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.4s (46.1%)

preprocess101.0ms (3.4%)

series7.0ms (0.2%)

rewrite178.0ms (5.9%)

eval13.0ms (0.4%)

prune18.0ms (0.6%)

series71.0ms (2.4%)

rewrite197.0ms (6.5%)

eval78.0ms (2.6%)

prune15.0ms (0.5%)

series13.0ms (0.4%)

rewrite167.0ms (5.6%)

eval49.0ms (1.6%)

prune16.0ms (0.5%)

series58.0ms (1.9%)

rewrite159.0ms (5.3%)

eval37.0ms (1.2%)

prune21.0ms (0.7%)

regimes41.0ms (1.4%)

regimes12.0ms (0.4%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

derivations289.0ms (9.6%)

preprocess59.0ms (2%)

end0.0ms (0%)

Profiling