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

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
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)

sample644.0ms (39.7%)

Memory
38.8MiB live, 874.5MiB allocated; 306ms collecting garbage
Samples
324.0ms8 253×0valid
0.0ms3×2valid
Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-sqrt: 66.0ms (40.4% of total)
ival-add!: 51.0ms (31.2% of total)
ival-div!: 45.0ms (27.5% of total)
adjust: 2.0ms (1.2% of total)
Bogosity

preprocess115.0ms (7.1%)

Memory
-57.0MiB live, 54.4MiB allocated; 80ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01229
12427
23427
36027
413827
559724
6553424
Stop Event
1×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
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
6 → 41
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))
#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 (sqrt 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 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 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 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
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))
0.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

rewrite67.0ms (4.2%)

Memory
17.9MiB live, 62.9MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0210968
0215773
01342741
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
47 → 57
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))
#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 (sqrt 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 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 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 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
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 #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))
#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) #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))) (sqrt.f64 x))
#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)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (/.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) 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 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (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)))

eval5.0ms (0.3%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 569 to 284 computations (50.1% saved)

prune46.0ms (2.8%)

Memory
-39.2MiB live, 7.3MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New47855
Fresh000
Picked011
Done000
Total47956
Accuracy
100.0%
Counts
56 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.2%
(/.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)))))
38.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
70.1%
(/.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)))
▶69.6%
#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))
▶68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
69.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
▶33.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 185 to 172 computations (7% saved)

series18.0ms (1.1%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
29 → 154
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))
#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(literal 1/2 binary64)
#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))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(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))
#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))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* 1/2 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 (* 1/2 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 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#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 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 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 (sqrt (/ 1 x))))))
#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 (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 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)))))))))
#s(approx (* 1 (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 (/ 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 (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #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 (* 1/16 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 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ 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))))))
#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 (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (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 (* 1 (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 (+ 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) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #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
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)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8)
6.0ms
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)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 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)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8)

rewrite205.0ms (12.6%)

Memory
25.5MiB live, 163.5MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06665265
06993727
039853603
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
183 → 277
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))
#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(literal 1/2 binary64)
#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))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(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))
#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))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* 1/2 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 (* 1/2 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 (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#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 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 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 (sqrt (/ 1 x))))))
#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 (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 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)))))))))
#s(approx (* 1 (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 (/ 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 (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #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 (* 1/16 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 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ 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))))))
#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 (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (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 (* 1 (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 (+ 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) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #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 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.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))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 #s(literal 1 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 1 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (+.f64 #s(literal 1 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)))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #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 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.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))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(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 (+.f64 #s(literal 1 binary64) x) (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 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.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))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.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))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.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 (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 (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 (*.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.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))
(fma.f64 x #s(literal 1/2 binary64) (*.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 1/2 binary64) x) (*.f64 x (*.f64 #s(literal -1/8 binary64) 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(literal 1/2 binary64)
#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))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 #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 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #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 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 #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 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #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 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #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 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (-.f64 (*.f64 #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 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 #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 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
(*.f64 x #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
#s(literal 1/8 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 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(literal 2 binary64))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 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 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 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 (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(literal 2 binary64))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(literal 1 binary64))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1 (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 (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(literal 1 binary64))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.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)) (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (* 1 (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1 (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 (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 (/ 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 (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) 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 (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 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 (- (* 1/16 x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* 1/16 x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (* 1/16 x) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (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 (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #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)))))
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#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 -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 (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 x x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (+ 1 (pow (sqrt (+ 1 x)) 3)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (+ 1 (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) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.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 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (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 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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)))) (/.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 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* 1 (sqrt (+ 1 x))) (sqrt.f64 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 #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 (/.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 (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 (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 1 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 (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* 1 (sqrt (+ 1 x))) (sqrt.f64 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 #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 (/.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 (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 (/ 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 (- (sqrt x) 1) (sqrt.f64 x))
#s(approx (- (sqrt x) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/16 binary64)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)))
#s(approx (- (* 1/16 x) 1/8) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (- (* 1/16 x) 1/8) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (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 (+ 1 (sqrt (+ x 1)))) (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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64))) x) #s(literal -1 binary64))) x))) x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (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 (sqrt.f64 x) #s(literal 3/2 binary64) #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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64))) x) #s(literal -1 binary64)))) x))) x))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (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 (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (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 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (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) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x 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 (* 1 (sqrt (+ 1 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* 1 (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 (* 1 (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 (* 1 (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 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) 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 (* 1 (sqrt (+ 1 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* 1 (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 (* 1 (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 (* 1 (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 (/ 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) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (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 (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (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) (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) (*.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)))

eval48.0ms (2.9%)

Memory
-36.1MiB live, 65.1MiB allocated; 16ms collecting garbage
Compiler

Compiled 4 379 to 1 698 computations (61.2% saved)

prune9.0ms (0.6%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New3124316
Fresh213
Picked145
Done011
Total31510325
Accuracy
100.0%
Counts
325 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶33.1%
(/.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)))))
▶38.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
▶70.1%
(/.f64 x #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
▶68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
✓32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓69.6%
#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))
✓68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
▶69.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
✓33.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 188 to 173 computations (8% saved)

series15.0ms (1%)

Memory
-23.1MiB live, 22.9MiB allocated; 4ms collecting garbage
Counts
25 → 143
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (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)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) x)
#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) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
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 (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#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 (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))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (* -1/8 x) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#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 (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 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 (/ 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 (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #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 (sqrt (+ x 1))) #s(hole binary64 (sqrt 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 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x)))
#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 (sqrt 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 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 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 (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 (/ 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 (/ 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 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 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ 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))))
#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)))))))
#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)))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
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)))))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)))
3.0ms
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)))))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)))
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)))))) (+ (* 1/2 x) 2) 1/2 2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)))

rewrite137.0ms (8.4%)

Memory
45.1MiB live, 133.9MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06274870
06473465
037603323
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
168 → 229
Calls
Call 1
Inputs
(/.f64 x #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (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)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) x)
#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) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 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 (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#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 (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))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (* -1/8 x) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#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 (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 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 (/ 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 (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #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 (sqrt (+ x 1))) #s(hole binary64 (sqrt 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 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x)))
#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 (sqrt 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 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 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 (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 (/ 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 (/ 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #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) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 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 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ 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))))
#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)))))))
#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)))))))))
Outputs
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
x
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x)
(*.f64 x #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))))
(+.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x)))
#s(literal 1 binary64)
(pow.f64 #s(approx (+ x 1) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (/ 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)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #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 #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 #s(literal -1/8 binary64) x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #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 #s(literal -1/8 binary64) x) x))
(fma.f64 x (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 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 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x))
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -1/8 binary64) x))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 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 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.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 (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)))
(/.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 (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 (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 #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) (+.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 #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 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 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.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))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.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 0 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 (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))
#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 (+ (* 1/2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 1/2 x) 2) (fma.f64 #s(literal 1/2 binary64) x #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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) 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 (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 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 (+ 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) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (* -1/8 x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(approx (* -1/8 x) (*.f64 #s(literal -1/8 binary64) x))
#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 (+ 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 (- 1 (+ 1 x)) (neg.f64 x))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) 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 (+ 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 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (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 (+ 1 (sqrt (+ x 1)))) (+.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 (+ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (+ 1 (sqrt (+ x 1))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (+ 1 (sqrt (+ x 1))) (*.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 (+ 1 (sqrt (+ x 1))) (*.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.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 (+ 1 (sqrt (+ x 1))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 3/2 binary64) (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 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 (*.f64 x x) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))))))) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/16 binary64)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) x)) (*.f64 x x)))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#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)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (+ 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) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ 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 (+ 1 (sqrt (+ x 1))) (-.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 (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) 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 (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (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 (+ 1 (sqrt (+ x 1)))) (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 (+ 1 (sqrt (+ x 1)))) (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 (+ 1 (sqrt (+ x 1))) (/.f64 (neg.f64 (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 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))) (*.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 (+ 1 (sqrt (+ x 1))) (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 (/ 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)) (/.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 (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (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) (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) (*.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 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (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 (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.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 (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.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 (+ x 1)) (*.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 (+ x 1)) (*.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 (+ 1 (sqrt (+ x 1)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (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 (/ x (+ 1 (sqrt (+ x 1)))) (*.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 (sqrt (+ x 1)))) (*.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 (sqrt (+ x 1))) (neg.f64 (sqrt.f64 x)))
#s(approx (+ 1 (sqrt (+ x 1))) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (+.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 (sqrt (+ x 1))) (+.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))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.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 (+ x 1)) (*.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 (+ x 1)) (*.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))))))))

eval26.0ms (1.6%)

Memory
-8.8MiB live, 41.9MiB allocated; 10ms collecting garbage
Compiler

Compiled 2 317 to 948 computations (59.1% saved)

prune9.0ms (0.6%)

Memory
-25.9MiB live, 19.5MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1851186
Fresh000
Picked145
Done055
Total18610196
Accuracy
100.0%
Counts
196 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.6%
(/.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)))))
✓38.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
✓70.1%
(/.f64 x #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
✓68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
✓32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓69.6%
#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))
✓68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓69.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
✓33.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 122 to 115 computations (5.7% saved)

series2.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
9 → 55
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
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)))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (- 1 (+ 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 (+ 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 (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (neg 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))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x)))
#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 (sqrt 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 (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 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))))
#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)))))))
#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)))))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (neg x) (- 1 (sqrt (+ 1 x))) 1 (sqrt (+ 1 x)) (+ 1 x))
1.0ms
x
@inf
((/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (neg x) (- 1 (sqrt (+ 1 x))) 1 (sqrt (+ 1 x)) (+ 1 x))
0.0ms
x
@0
((/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (- 1 (+ 1 x)) (neg x) (- 1 (sqrt (+ 1 x))) 1 (sqrt (+ 1 x)) (+ 1 x))

rewrite82.0ms (5%)

Memory
-6.8MiB live, 86.1MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02741434
02821145
016491110
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
64 → 75
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(approx (- 1 (+ 1 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
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)))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (- 1 (+ 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 (+ 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 (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (neg 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))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x)))
#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 (sqrt 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 (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 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))))
#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)))))))
#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)))))))))
Outputs
(*.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)))))
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 #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) (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(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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.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 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (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 (/ (- 1 (+ 1 x)) (- 1 (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 (/ (- 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 (- 1 (+ 1 x)) (neg.f64 x))
#s(approx (neg 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) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ x (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (sqrt.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 (+.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 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.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 (- 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 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)))) (neg.f64 (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 (neg.f64 x) #s(literal -1 binary64))) x)) (neg.f64 (sqrt.f64 x))))
#s(approx (/ (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x)))) (+.f64 (neg.f64 (sqrt.f64 x)) (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 (neg.f64 x) #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)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))

eval7.0ms (0.4%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 829 to 384 computations (53.7% saved)

prune6.0ms (0.4%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New65166
Fresh000
Picked101
Done099
Total661076
Accuracy
100.0%
Counts
76 → 10
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)))))
✓38.1%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
✓70.1%
(/.f64 x #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
36.6%
(*.f64 (/.f64 x #s(approx (- 1 (+ 1 x)) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
✓68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
✓32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
✓69.6%
#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))
✓68.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
✓69.7%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
✓33.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 254 to 200 computations (21.3% saved)

regimes46.0ms (2.9%)

Memory
-30.2MiB live, 25.0MiB allocated; 50ms collecting garbage
Counts
15 → 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 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
#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 #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (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)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) 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))
(*.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)))))
(/.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 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:

4.0ms
x
4.0ms
(/.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)

regimes6.0ms (0.4%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
8 → 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 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
#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 #s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (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:

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

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.3%)

Memory
12.7MiB live, 12.7MiB 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 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
#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
99.4%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.4%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB 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 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
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
99.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.0%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
3 → 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 #s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #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:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
98.5%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.5%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes31.0ms (1.9%)

Memory
-43.6MiB live, 5.8MiB allocated; 7ms 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:

30.0ms
x
1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
33.4%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
33.4%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch11.0ms (0.7%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.040928296712855194
16309956.116906136
Samples
5.0ms144×0valid
Compiler

Compiled 191 to 208 computations (-8.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (40.4% of total)
ival-add!: 1.0ms (40.4% of total)
ival-div!: 1.0ms (40.4% of total)
adjust: 0.0ms (0% of total)

bsearch6.0ms (0.3%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
5.0ms
0.040928296712855194
16309956.116906136
Samples
2.0ms64×0valid
Compiler

Compiled 200 to 217 computations (-8.5% 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)

bsearch4.0ms (0.3%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
4.0ms
0.040928296712855194
16309956.116906136
Samples
2.0ms48×0valid
Compiler

Compiled 182 to 199 computations (-9.3% 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 (0.1%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.040928296712855194
16309956.116906136
Compiler

Compiled 164 to 181 computations (-10.4% saved)

derivations15.0ms (0.9%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 55 to 36 computations (34.5% saved)

preprocess38.0ms (2.4%)

Memory
-12.1MiB live, 78.3MiB allocated; 9ms 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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