Main:bigenough3 from C

Time bar (total: 2.3s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.0s (44.4%)

Memory
-30.7MiB live, 1 175.4MiB allocated; 315ms collecting garbage
Samples
498.0ms4 076×1valid
198.0ms4 180×0valid
1.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 382.0ms
ival-sqrt: 199.0ms (52.1% of total)
adjust: 113.0ms (29.6% of total)
ival-add!: 39.0ms (10.2% of total)
ival-sub!: 30.0ms (7.9% of total)
Bogosity

preprocess99.0ms (4.3%)

Memory
-4.1MiB live, 42.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
12226
22826
35626
425324
5241124
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.0%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))

rewrite54.0ms (2.3%)

Memory
30.4MiB live, 76.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151679
0156575
0846543
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
37 → 46
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 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))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 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 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval14.0ms (0.6%)

Memory
-26.3MiB live, 28.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 418 to 193 computations (53.8% saved)

prune5.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743
Accuracy
99.9%
Counts
43 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
✓50.0%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶3.5%
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
▶47.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶53.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶55.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 180 to 158 computations (12.2% saved)

series14.0ms (0.6%)

Memory
-9.6MiB live, 37.4MiB allocated; 2ms collecting garbage
Counts
26 → 76
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
Outputs
#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 (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16)
4.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16)
3.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) -1/8 (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16)

rewrite115.0ms (4.9%)

Memory
-17.3MiB live, 75.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02812175
03181730
014461662
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
102 → 156
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
#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 (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(pow.f64 #s(approx (+ x 1) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/16 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (/ 1 (* (* x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (/ 1 (* (* x x) x))) (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))

eval17.0ms (0.8%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 040 to 716 computations (64.9% saved)

prune10.0ms (0.4%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1547161
Fresh011
Picked415
Done011
Total15810168
Accuracy
100.0%
Counts
168 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.3%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
46.9%
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
✓50.0%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓47.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶53.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶54.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
55.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶55.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶55.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 328 to 276 computations (15.9% saved)

series40.0ms (1.7%)

Memory
-15.0MiB live, 41.0MiB allocated; 13ms collecting garbage
Counts
36 → 157
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
#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 (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (* (/ 1 (sqrt (* (* x x) x))) 1/16) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (/ 1 (sqrt (* (* x x) x))) 1/16) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* (/ 1 (sqrt (* (* x x) x))) 1/16) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
11.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* (/ 1 (sqrt (* (* x x) x))) 1/16) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
5.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* (/ 1 (sqrt (* (* x x) x))) 1/16) (/ 1 (sqrt (* (* x x) x))) (sqrt (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))

rewrite224.0ms (9.7%)

Memory
-1.6MiB live, 223.1MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07045769
07664057
042423897
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
193 → 294
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 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 (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (* (/ 1 (sqrt (* (* x x) x))) 1/16) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3)))))))
#s(approx (* (/ 1 (sqrt (* (* x x) x))) 1/16) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Outputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x))
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(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))) x))
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(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
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(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
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(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
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(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/16 binary64)))
(+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
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(*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
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(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)))))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x) (+.f64 #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) (-.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) x)
(+.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1/2 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ -1/8 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* (/ 1 (sqrt (* (* x x) x))) 1/16) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (sqrt (* (* x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (pow (sqrt x) 3) (*.f64 (sqrt.f64 x) x))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x)) (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(literal 1 binary64))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(literal 1 binary64))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (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 (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (sqrt x) 3) (*.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (+.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x (sqrt.f64 x)))
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#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (sqrt.f64 x))
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#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x))
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#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
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#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (sqrt.f64 x) x))
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#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
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#s(approx (+ 1 x) x)
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#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 #s(literal 3 binary64) x))
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#s(approx (* (sqrt (+ 1 x)) (sqrt x)) x)
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#s(approx (pow (sqrt x) 3) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x) #s(literal -3 binary64))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 9 binary64) x)) #s(literal 3/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -27 binary64)) #s(literal -9/4 binary64)))) x)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 3/2 binary64))) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -27 binary64)) #s(literal -9/4 binary64)))) #s(literal -3 binary64)) #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 27 binary64)) #s(literal 3/16 binary64))))) x))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -27 binary64)) #s(literal -9/4 binary64)))) x)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 3/2 binary64))) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))) (*.f64 x x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64))))) x)))
#s(approx (pow (sqrt x) 3) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3/2 binary64) x)) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal 3/2 binary64)) x)) #s(literal -3 binary64)) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 3/2 binary64)) x)) #s(literal -3 binary64)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) x)))

eval44.0ms (1.9%)

Memory
16.4MiB live, 62.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 097 to 1 554 computations (69.5% saved)

prune10.0ms (0.4%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New2735278
Fresh303
Picked235
Done022
Total27810288
Accuracy
100.0%
Counts
288 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.7%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶49.3%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓50.0%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓47.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶47.1%
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
▶56.1%
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
✓53.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶55.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓55.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓55.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 304 to 235 computations (22.7% saved)

series41.0ms (1.8%)

Memory
-44.4MiB live, 54.0MiB allocated; 15ms collecting garbage
Counts
33 → 222
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) x)
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 3/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 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 (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (+ 1 x) x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 1))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (+ 1 x) x) #s(hole binary64 1))
#s(approx (+ (+ 1 x) x) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 x))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ 3/2 (+ 1 (sqrt x)))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ (* (sqrt x) (/ 1 (+ 1 (sqrt x)))) (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ 2 (pow (+ 1 (sqrt x)) 2))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (pow (+ 1 (sqrt x)) 2)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (sqrt (/ 1 x))) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))) x)))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* 3 x)))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ 1 x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ 1 x) x) #s(hole binary64 (* x (+ 2 (/ 1 x)))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 x))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* x (- (* 3/2 (sqrt (/ 1 x))) (+ 1 (* -1 (sqrt (/ 1 x))))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 (pow x 3))) (* 3/2 (sqrt (/ 1 x)))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (* 9/2 (/ 1 x))))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (* 3/2 (sqrt (/ 1 x))) (* 4 (sqrt (/ 1 (pow x 3)))))) (+ 1 (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* 9/2 (/ 1 x)) (/ 1 (pow x 2)))))))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 -1))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* 3/2 (sqrt (/ 1 x))) (+ 1 (* -1 (sqrt (/ 1 x)))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 x) (* 3 x)) (pow x 2))) (* 3/2 (sqrt (/ 1 x)))) (+ 1 (* -1 (sqrt (/ 1 x)))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (+ (* 3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ 1 (+ (* -4 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 9/2 (/ 1 x)))))))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (* 3/2 (sqrt (/ 1 x)))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (* 3/2 (sqrt x)) 3/2) x)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) 3/2) x)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (* 3/2 (sqrt x)) (+ 3/2 (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (* -1 (sqrt (/ 1 x))))))
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#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x))))
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#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (- (pow (sqrt -1) 2) 2)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* x (pow (- (pow (sqrt -1) 2) 2) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 2) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))))) (- (pow (sqrt -1) 2) 2)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
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#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
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#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -3 (/ x (pow (sqrt -1) 2))) (* -1 (/ (+ (* -4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))) x)))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ -2 (* x (pow (sqrt -1) 2)))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -2 (/ x (pow (sqrt -1) 2))) (* 4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -2 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -6 (/ x (pow (sqrt -1) 4))) (* 4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) (pow x 2))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -2 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4)))) (+ (* 6 (/ (pow x 2) (pow (sqrt -1) 4))) (* 12 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4)))))) x)) (* 4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) (pow x 2))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x)) (* -1 (/ (pow (sqrt -1) 2) x))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) 1/2 (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) (- (+ 1 x) x) (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)) (* (+ 1 x) x) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (/ 3/2 (+ (sqrt x) 1)) 3/2 (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))
7.0ms
x
@0
((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) 1/2 (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) (- (+ 1 x) x) (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)) (* (+ 1 x) x) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (/ 3/2 (+ (sqrt x) 1)) 3/2 (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))
6.0ms
x
@inf
((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)) 1/2 (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) (- (+ 1 x) x) (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)) (* (+ 1 x) x) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (/ 3/2 (+ (sqrt x) 1)) 3/2 (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))

rewrite219.0ms (9.5%)

Memory
26.3MiB live, 303.2MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011649860
012276941
178746941
088336686
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
255 → 422
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) x)
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (+.f64 #s(literal 1 binary64) x) x)
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
(/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 3/2 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 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 (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (+ 1 x) x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 1))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (+ 1 x) x) #s(hole binary64 1))
#s(approx (+ (+ 1 x) x) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 x))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ 3/2 (+ 1 (sqrt x)))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ (* (sqrt x) (/ 1 (+ 1 (sqrt x)))) (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ 2 (pow (+ 1 (sqrt x)) 2))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (pow (+ 1 (sqrt x)) 2)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (sqrt (/ 1 x))) 1) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x)))) x)))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* 3 x)))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ 1 x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ 1 x) x) #s(hole binary64 (* x (+ 2 (/ 1 x)))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 x))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (+ 1 x) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ 1 x) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* x (- (* 3/2 (sqrt (/ 1 x))) (+ 1 (* -1 (sqrt (/ 1 x))))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 (pow x 3))) (* 3/2 (sqrt (/ 1 x)))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (* 9/2 (/ 1 x))))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 (pow x 3))) (+ (* 3/2 (sqrt (/ 1 x))) (* 4 (sqrt (/ 1 (pow x 3)))))) (+ 1 (+ (* -3/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* 9/2 (/ 1 x)) (/ 1 (pow x 2)))))))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 -1))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* 3/2 (sqrt (/ 1 x))) (+ 1 (* -1 (sqrt (/ 1 x)))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 x) (* 3 x)) (pow x 2))) (* 3/2 (sqrt (/ 1 x)))) (+ 1 (* -1 (sqrt (/ 1 x)))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (+ (* 3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ 1 (+ (* -4 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 9/2 (/ 1 x)))))))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (* 3/2 (sqrt (/ 1 x)))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (* 3/2 (sqrt x)) 3/2) x)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) 3/2) x)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (* 3/2 (sqrt x)) (+ 3/2 (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (* -1 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (+ (* -1 (sqrt (/ 1 x))) (* 3 (/ 1 x))))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (+ (* -4 (sqrt (/ 1 (pow x 3)))) (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* 3 (/ 1 x))))))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ 2 x)))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -4 (sqrt x)) (* 2 x)) (pow x 2))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (- (+ 6 (* 2 x)) (* 4 (sqrt x))) (pow x 2))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (- (+ 6 (+ (* -1 (/ (+ (* -4 (sqrt (pow x 5))) (* 12 (sqrt (pow x 5)))) (pow x 3))) (* 2 x))) (* 4 (sqrt x))) (pow x 2))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 x))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* (pow x 2) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* (pow x 2) (+ (* 2 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (/ x (pow (sqrt -1) 4)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (- (pow (sqrt -1) 2) 2)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* x (pow (- (pow (sqrt -1) 2) 2) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 4) (pow (- (pow (sqrt -1) 2) 2) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))))) (- (pow (sqrt -1) 2) 2)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (pow (sqrt -1) 2) 2))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (pow (- (pow (sqrt -1) 2) 2) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- (pow (sqrt -1) 2) 2) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))) (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (pow (sqrt -1) 2) 2)))))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) 2)))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (+ 2 (* 3/2 (/ 1 x))))))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 2)))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 2)))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (+ 1 x) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 3/2 (sqrt (/ 1 x)))) (* -1 (sqrt (/ 1 x))))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -1 (sqrt x)))) (* -1 (/ (+ (sqrt x) (* -9/2 (/ x (pow (sqrt -1) 2)))) x))) x)))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -1 (sqrt x)))) (* -1 (/ (+ (sqrt x) (+ (* -9/2 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (- (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))) x))) x)))))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* -1 (/ (- (* 3/2 (sqrt x)) (* -1 (sqrt x))) x)) 1)))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* -1 (/ (- (+ (* 3/2 (sqrt x)) (+ (/ -3 (pow (sqrt -1) 2)) (/ -3/2 (pow (sqrt -1) 2)))) (* -1 (sqrt x))) x)) 1)))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(hole binary64 (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -3 (/ x (pow (sqrt -1) 2))) (* -3/2 (/ x (pow (sqrt -1) 2))))) x)) (* 3/2 (sqrt x))) (* -1 (sqrt x))) x)) 1)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (* -3/2 (sqrt (/ 1 x)))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (- (* 3/2 (sqrt x)) (* 3/2 (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -3/2 (/ x (pow (sqrt -1) 2)))) x)) (* 3/2 (sqrt x))) x))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (/ x (pow (sqrt -1) 4))) (* -3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/2 (/ x (pow (sqrt -1) 2)))) x)) (* 3/2 (sqrt x))) x))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (sqrt x)) (* 3 (/ 1 (pow (sqrt -1) 2)))) x)))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -3 (/ x (pow (sqrt -1) 2))) (* -1 (/ (+ (* -4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x))) x)))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ -2 (* x (pow (sqrt -1) 2)))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -2 (/ x (pow (sqrt -1) 2))) (* 4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (pow x 2))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -2 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -6 (/ x (pow (sqrt -1) 4))) (* 4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) (pow x 2))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) #s(hole binary64 (/ (+ (* -2 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4)))) (+ (* 6 (/ (pow x 2) (pow (sqrt -1) 4))) (* 12 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4)))))) x)) (* 4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) (pow x 2))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* (pow x 2) (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x)) (* -1 (/ (pow (sqrt -1) 2) x))))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.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 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) x)) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (-.f64 x x))
(*.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 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
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(/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 3/2 binary64)
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(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
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(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
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#s(literal 2 binary64)
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(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (sqrt x) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 x (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (+ 1 x) x) #s(literal 1 binary64))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (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 (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) #s(literal 1 binary64))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) #s(literal 1 binary64))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (+ 1 x) x) #s(literal 1 binary64))
#s(approx (+ (+ 1 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (* (+ 1 x) x)) (sqrt.f64 x))
#s(approx (sqrt (* (+ 1 x) x)) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (* (+ 1 x) x)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (sqrt (* (+ 1 x) x)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (* (+ 1 x) x) x)
#s(approx (* (+ 1 x) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 1/96 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x))))))))) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (+.f64 (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) x))
#s(approx (+ (sqrt x) 1) (sqrt.f64 x))
#s(approx (+ (sqrt x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x))))) x))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x))
#s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 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))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 (*.f64 x x) x)) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(literal 1/96 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 x x) x)) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x))))))))) x))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))
#s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (*.f64 (sqrt.f64 x) x))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) x))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 3/2 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (+ (+ 1 x) x) (+.f64 x x))
#s(approx (+ (+ 1 x) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))
#s(approx (sqrt (* (+ 1 x) x)) x)
#s(approx (sqrt (* (+ 1 x) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (* (+ 1 x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (sqrt (* (+ 1 x) x)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (+ 1 x) x) (*.f64 x x))
#s(approx (* (+ 1 x) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 9/2 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (*.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))) #s(literal 1 binary64)) (fma.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 9/2 binary64) x))))) x))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) #s(literal -1 binary64))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 9/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal 9/2 binary64) x)))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) x))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 3/2 binary64)) x))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (fma.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/2 binary64) x))) x))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) #s(literal 1 binary64))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
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#s(approx (sqrt (+ 1 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
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#s(approx (* (sqrt (+ 1 x)) (+ 1 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))
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#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 (neg.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 3/2 binary64)) x)) #s(literal -3 binary64))))
#s(approx (+ (+ (+ 1 x) x) (sqrt (* (+ 1 x) x))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) #s(literal 3/2 binary64)) x)) #s(literal -3 binary64))))
#s(approx (sqrt (* (+ 1 x) x)) (neg.f64 (neg.f64 x)))
#s(approx (sqrt (* (+ 1 x) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (* (+ 1 x) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))))
#s(approx (sqrt (* (+ 1 x) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 5/2 binary64)))) x)) #s(literal 1 binary64))))
#s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal -5 binary64)))) (/.f64 x #s(literal 1 binary64))) x))) (sqrt.f64 x)) x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 5/2 binary64)))) x)) #s(literal 1 binary64))))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 5/2 binary64))) x) #s(literal 1 binary64)))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 9/2 binary64)) (neg.f64 (sqrt.f64 x))) x)) #s(literal 1 binary64)))
#s(approx (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal -5 binary64))) x)) (*.f64 #s(literal -9/2 binary64) (/.f64 x #s(literal -1 binary64)))) x)) (*.f64 (sqrt.f64 x) #s(literal 5/2 binary64))) x)) #s(literal 1 binary64)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/2 binary64)) x)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal -1 binary64)))) x))) x)))
#s(approx (/ 3/2 (+ (sqrt x) 1)) (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) x)) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -3/2 binary64))) x))) x)))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (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)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal -5 binary64)) x))) x)) (neg.f64 (sqrt.f64 x))) x)) #s(literal 1 binary64)))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal -4 binary64))) x))) (*.f64 x x)))
#s(approx (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 6 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 12 binary64)))) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64)) #s(literal 4 binary64))) x))) (*.f64 x x)))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) (neg.f64 (neg.f64 x)))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) (*.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (* (+ (sqrt x) 1) (+ (sqrt x) 1)) (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))

eval78.0ms (3.4%)

Memory
-19.5MiB live, 127.5MiB allocated; 47ms collecting garbage
Compiler

Compiled 7 820 to 2 418 computations (69.1% saved)

prune15.0ms (0.6%)

Memory
42.8MiB live, 42.8MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New4546460
Fresh000
Picked325
Done055
Total45713470
Accuracy
100.0%
Counts
470 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 #s(approx (- (+ 1 x) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
48.5%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓50.0%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓47.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓56.1%
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
10.5%
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
1.7%
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
47.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
47.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
✓53.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓55.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓55.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓55.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 701 to 410 computations (41.5% saved)

regimes15.0ms (0.6%)

Memory
-16.1MiB live, 30.5MiB allocated; 2ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 #s(approx (- (+ 1 x) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (+ 1 x)) (* (sqrt x) x)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
Outputs
(/.f64 #s(approx (- (+ 1 x) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
Calls

2 calls:

7.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.3%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.4%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.4%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.4%)

Memory
-30.3MiB live, 15.7MiB allocated; 4ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (+ (/ -1/8 (sqrt x)) (* (/ 1 (sqrt (* (* x x) x))) 1/16)) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Calls

2 calls:

7.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.4%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.3%2x
98.3%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
47.0%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
47.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
Outputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (+ (* (- (/ 3/2 (+ (sqrt x) 1)) (+ (* (/ 1 (+ (sqrt x) 1)) (sqrt x)) (/ 2 (* (+ (sqrt x) 1) (+ (sqrt x) 1))))) x) (/ 1 (+ (sqrt x) 1))) (neg.f64 x)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
1.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch20.0ms (0.8%)

Memory
-20.5MiB live, 30.0MiB allocated; 7ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
6039690.958044399
1712149155.4711242
Samples
13.0ms128×1valid
Compiler

Compiled 154 to 170 computations (-10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 4.0ms (68% of total)
adjust: 1.0ms (17% of total)
ival-sub!: 1.0ms (17% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.2461774915472692
0.99612104635843
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.2461774915472692
0.99612104635843
Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations82.0ms (3.5%)

Memory
-10.9MiB live, 127.7MiB allocated; 12ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 88 to 60 computations (31.8% saved)

preprocess141.0ms (6.1%)

Memory
5.5MiB live, 104.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 94 to 66 computations (29.8% saved)

end0.0ms (0%)

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

Profiling

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