Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
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
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample836.0ms (42.6%)

Memory
7.3MiB live, 1 056.2MiB allocated; 387ms collecting garbage
Samples
524.0ms8 252×0valid
1.0ms2valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 294.0ms
ival-sqrt: 136.0ms (46.2% of total)
ival-div!: 82.0ms (27.9% of total)
ival-add!: 75.0ms (25.5% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

preprocess104.0ms (5.3%)

Memory
-19.3MiB live, 26.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01229
13127
26027
311127
438424
5299524
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series6.0ms (0.3%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
6 → 36
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 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 (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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)))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
2.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
1.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

rewrite70.0ms (3.6%)

Memory
29.7MiB live, 76.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0205928
0210738
01337706
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
42 → 52
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 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 (+ 1 (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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)))))))))
Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(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))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#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) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.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) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (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) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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 (+ 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) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x)) (neg.f64 (/.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 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))

eval16.0ms (0.8%)

Memory
-19.6MiB live, 32.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 535 to 264 computations (50.7% saved)

prune6.0ms (0.3%)

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

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New40949
Fresh000
Picked011
Done000
Total401050
Accuracy
100.0%
Counts
50 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
34.3%
(/.f64 x (+.f64 #s(literal 1 binary64) #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))))
68.1%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
68.8%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
67.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
66.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
68.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
33.5%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 237 to 224 computations (5.5% saved)

series19.0ms (1%)

Memory
5.5MiB live, 52.8MiB allocated; 1ms collecting garbage
Counts
30 → 113
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
x
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1 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)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
(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 2 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
Outputs
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 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 (* 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 x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16))))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (* 1/16 x) #s(hole binary64 (* 1/16 x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (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)))) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (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)))) (/ 1 (pow x 2)))))))))
#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 (* 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 (+ 1 (/ 1 x)))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ 1 (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)) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (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)) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (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)) (/ 1 (pow x 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 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8)
7.0ms
x
@-inf
((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8)
2.0ms
x
@0
((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8)

rewrite185.0ms (9.4%)

Memory
17.4MiB live, 283.8MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06644725
06983334
042773218
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
143 → 233
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
x
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1 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)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
(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 2 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 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 (* 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 x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16))))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (* 1/16 x) #s(hole binary64 (* 1/16 x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (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)))) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (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)))) (/ 1 (pow x 2)))))))))
#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 (* 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 (+ 1 (/ 1 x)))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ 1 (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)) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (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)) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (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)) (/ 1 (pow x 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 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
Outputs
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.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))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.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)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(*.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)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 2 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))) x)) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) #s(literal 2 binary64))) x)) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3/2 binary64) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal -2 binary64))) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64)))) x)) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) #s(literal 2 binary64))) x)) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 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)))) (*.f64 x x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.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(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.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(literal 1 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) 2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (*.f64 x x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1/16 binary64))))
#s(approx (- (* 1/16 x) 1/8) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)))

eval46.0ms (2.4%)

Memory
-12.3MiB live, 88.6MiB allocated; 23ms collecting garbage
Compiler

Compiled 3 690 to 1 340 computations (63.7% saved)

prune25.0ms (1.3%)

Memory
-30.3MiB live, 16.1MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1942196
Fresh134
Picked145
Done011
Total19610206
Accuracy
100.0%
Counts
206 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
34.8%
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
68.1%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
68.8%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
67.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
66.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
68.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
33.5%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 166 to 155 computations (6.6% saved)

series14.0ms (0.7%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Counts
29 → 129
Calls
Call 1
Inputs
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
x
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 2))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* 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 x)))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (+ 1 (+ 1 x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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)))) (/ 1 (pow x 2)))))))))
#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 (+ 1 (/ 1 x)))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ 1 (+ 1 x)) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 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 (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (sqrt (+ 1 x)) (+ 1 x) 1 (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (+ 1 (+ 1 x)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 1/16 1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))
4.0ms
x
@-inf
((/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (sqrt (+ 1 x)) (+ 1 x) 1 (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (+ 1 (+ 1 x)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 1/16 1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))
2.0ms
x
@0
((/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (sqrt (+ 1 x)) (+ 1 x) 1 (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (+ 1 (+ 1 x)) (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 1/16 1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))

rewrite192.0ms (9.8%)

Memory
-5.5MiB live, 227.7MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07104756
07493912
044123809
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
158 → 240
Calls
Call 1
Inputs
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
x
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 2))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* 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 x)))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (+ 1 (+ 1 x)) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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)))) (/ 1 (pow x 2)))))))))
#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 (+ 1 (/ 1 x)))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ 1 (+ 1 x)) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 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 (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
x
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.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))) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 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)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.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))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 2 binary64) x)
(+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 2 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x))) (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal -1/8 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) #s(literal 1/64 binary64)) (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(*.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) #s(literal 1/256 binary64)) (-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))))
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(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x))
(+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) #s(literal 2 binary64))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (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 2 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (fma.f64 #s(literal 3/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (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 2 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) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ 1 (+ 1 x)) (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 (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 (+ 1 x)) (+.f64 #s(literal 2 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
#s(approx (+ (* -5/128 x) 1/16) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
#s(approx (- 1 (+ 1 x)) (neg.f64 x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
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#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
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#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ 1 (+ 1 x)) (sqrt (+ 1 x)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)))))) x))
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#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (sqrt.f64 (*.f64 (*.f64 x x) x)))
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#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) x))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (+ 1 (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.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(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (neg.f64 x) (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))) (sqrt.f64 x))) x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.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(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))

eval42.0ms (2.1%)

Memory
-1.8MiB live, 91.2MiB allocated; 22ms collecting garbage
Compiler

Compiled 3 779 to 1 373 computations (63.7% saved)

prune7.0ms (0.4%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New2344238
Fresh000
Picked235
Done055
Total23612248
Accuracy
100.0%
Counts
248 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
38.4%
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
37.7%
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
68.1%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
68.8%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
67.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
67.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
66.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
68.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
33.5%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 141 to 136 computations (3.5% saved)

series13.0ms (0.6%)

Memory
-15.1MiB live, 30.1MiB allocated; 4ms collecting garbage
Counts
30 → 126
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (+ 1 x)) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 x) 1/8))))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) #s(hole binary64 (* (pow x 2) (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -1/8 x)))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* x (- (* 1/16 x) 1/8))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 2))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#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 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (+ x 2) #s(hole binary64 (+ 2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#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 (+ 1 (/ 1 x)))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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)))) (/ 1 (pow x 2)))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ x 2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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 (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 2))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) x 1/2 (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 1/16 1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+ (sqrt x) 1) (sqrt x) 1 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (neg x) (- 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))) (+ x 2) 2)
3.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) x 1/2 (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 1/16 1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+ (sqrt x) 1) (sqrt x) 1 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (neg x) (- 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))) (+ x 2) 2)
1.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) x 1/2 (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 1/16 1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+ (sqrt x) 1) (sqrt x) 1 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (neg x) (- 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))) (+ x 2) 2)

rewrite174.0ms (8.9%)

Memory
35.0MiB live, 218.1MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07014592
07373824
043623711
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
156 → 226
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (+ 1 x)) (neg.f64 x))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 x) 1/8))))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) #s(hole binary64 (* (pow x 2) (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -1/8 x)))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* x (- (* 1/16 x) 1/8))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 2))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#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 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (+ x 2) #s(hole binary64 (+ 2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#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 (+ 1 (/ 1 x)))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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)))) (/ 1 (pow x 2)))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ x 2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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 (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 2))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) #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 (pow x 2))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) x))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)
(*.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) #s(literal 1/64 binary64)) (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(*.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) #s(literal 1/256 binary64)) (-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))
(/.f64 (+.f64 #s(literal 1/4096 binary64) (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/256 binary64) (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) #s(literal 1/4096 binary64)) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))))
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x))
(+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 1 binary64)
(*.f64 (/.f64 x #s(approx (- 1 (+ 1 x)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (+ 1 x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.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)))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.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))) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 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)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 x (-.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 8 binary64)) (fma.f64 x x (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))))
(+.f64 #s(literal 2 binary64) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(approx (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
#s(approx (+ (* -5/128 x) 1/16) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) #s(literal 2 binary64))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (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 2 binary64)))
#s(approx (+ (sqrt x) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- 1 (+ 1 x)) (neg.f64 x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
#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) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (fma.f64 #s(literal 3/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (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 2 binary64)))
#s(approx (- (+ x 2) (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 (- (+ x 2) (sqrt (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 2) (+.f64 #s(literal 2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/128 binary64)))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/16 binary64) x)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -5/128 binary64)))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (*.f64 x x) #s(literal -5/128 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -5/128 binary64) x))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 5/128 binary64)) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.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) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (+ (sqrt x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (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 (+ 1 x)) (*.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 (+ 1 x)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) x))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1/2 binary64) x)))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 2 binary64))))) x))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x))))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 x)) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 3 binary64))))))) x))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (+.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 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) (sqrt.f64 x)))) x))
#s(approx (+ x 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* x 1/2) (* (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) x)) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (*.f64 (*.f64 x x) x))))
#s(approx (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x)) #s(literal 5/128 binary64)) (*.f64 (*.f64 x x) x))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (neg.f64 x) (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)))) (sqrt.f64 x))) x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)) (/.f64 x #s(literal 1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (+ (sqrt x) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.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(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (fma.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (fma.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) #s(literal -1 binary64))) x))) x))))
#s(approx (/ x (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x))))) (fma.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -2 binary64))) x)) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x) #s(literal -1 binary64)))) x))) x))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (/.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 2 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))) x)) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) #s(literal 2 binary64))) x)) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))))))
#s(approx (/ (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (- (+ x 2) (sqrt (+ 1 x)))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (sqrt.f64 x)) #s(literal 3/2 binary64) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal -3 binary64))) (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal -2 binary64))) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64)))) x)) (*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))) #s(literal 2 binary64))) x)) (neg.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))))) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (+ 1 x)) 1) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) x))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (+ x 2) (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.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(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))

eval43.0ms (2.2%)

Memory
-24.7MiB live, 66.1MiB allocated; 25ms collecting garbage
Compiler

Compiled 3 492 to 1 324 computations (62.1% saved)

prune9.0ms (0.4%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New2112213
Fresh000
Picked224
Done088
Total21312225
Accuracy
100.0%
Counts
225 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
37.7%
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
68.1%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
68.8%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
38.4%
(*.f64 (/.f64 x #s(approx (- 1 (+ 1 x)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
68.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
67.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
66.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
68.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
33.5%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 305 to 243 computations (20.3% saved)

regimes15.0ms (0.8%)

Memory
-20.5MiB live, 25.4MiB allocated; 6ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x #s(approx (- 1 (+ 1 x)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x)))
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) #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))))
(/.f64 x (/.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Calls

2 calls:

9.0ms
x
5.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.7%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.7%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.3%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
Outputs
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.0%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
97.9%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.9%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x #s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
97.3%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.3%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.3%)

Memory
-38.0MiB live, 7.8MiB allocated; 4ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Calls

2 calls:

4.0ms
x
1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
96.9%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
96.9%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

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

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Calls

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
33.5%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
33.5%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch10.0ms (0.5%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
0.203413457814216
1191.8910849482404
Samples
4.0ms128×0valid
Compiler

Compiled 171 to 186 computations (-8.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (47.7% of total)
ival-add!: 1.0ms (47.7% of total)
ival-div!: 1.0ms (47.7% of total)
adjust: 0.0ms (0% of total)

bsearch5.0ms (0.3%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
5.0ms
0.203413457814216
1191.8910849482404
Samples
2.0ms64×0valid
Compiler

Compiled 179 to 194 computations (-8.4% saved)

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

bsearch8.0ms (0.4%)

Memory
-37.3MiB live, 8.1MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
0.203413457814216
1191.8910849482404
Samples
2.0ms48×0valid
Compiler

Compiled 163 to 178 computations (-9.2% saved)

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

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.203413457814216
1191.8910849482404
Compiler

Compiled 147 to 162 computations (-10.2% saved)

derivations13.0ms (0.7%)

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

Compiled 55 to 36 computations (34.5% saved)

preprocess80.0ms (4.1%)

Memory
-4.8MiB live, 88.0MiB allocated; 68ms collecting garbage
Compiler

Compiled 62 to 42 computations (32.3% saved)

end0.0ms (0%)

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

Profiling

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