2sqrt (example 3.1)

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (53.2%)

Memory
10.0MiB live, 926.1MiB allocated; 264ms collecting garbage
Samples
856.0ms8 141×1valid
4.0ms115×0valid
Precisions
Click to see histograms. Total time spent on operations: 607.0ms
ival-sqrt: 266.0ms (43.8% of total)
adjust: 171.0ms (28.2% of total)
ival-add!: 131.0ms (21.6% of total)
ival-sub!: 39.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess73.0ms (3.3%)

Memory
-39.9MiB live, 4.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

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

rewrite60.0ms (2.8%)

Memory
34.6MiB live, 34.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval5.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 419 to 194 computations (53.7% saved)

prune15.0ms (0.7%)

Memory
-34.2MiB live, 10.5MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New34943
Fresh000
Picked011
Done000
Total341044
Accuracy
99.9%
Counts
44 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
7.4%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.7%
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
3.8%
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
98.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 288 to 252 computations (12.5% saved)

series18.0ms (0.8%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Counts
31 → 108
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))))
4.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))))
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))))

rewrite79.0ms (3.6%)

Memory
5.2MiB live, 58.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03693872
04153006
018802899
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
139 → 212
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -5 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
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(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64)))
#s(approx (pow x -5) (pow.f64 x #s(literal -5 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt (/ 1 (* (* x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (/ 1 (* (* x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
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#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
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#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.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 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 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 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (/ 1 (* (* x x) x))) (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))

eval37.0ms (1.7%)

Memory
-35.9MiB live, 53.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 3 983 to 1 228 computations (69.2% saved)

prune12.0ms (0.5%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New2729281
Fresh224
Picked415
Done011
Total27813291
Accuracy
99.9%
Counts
291 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.7%
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
98.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
28.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
25.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
Compiler

Compiled 590 to 534 computations (9.5% saved)

series22.0ms (1%)

Memory
-15.9MiB live, 30.1MiB allocated; 4ms collecting garbage
Counts
35 → 114
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -7 binary64)))
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)
#s(literal -5/128 binary64)
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 4))))
#s(approx (sqrt (pow x -7)) #s(hole binary64 (sqrt (/ 1 (pow x 7)))))
#s(approx (pow x -7) #s(hole binary64 (/ 1 (pow x 7))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))))
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (sqrt (pow x -7)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x -1/8 (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (sqrt (pow x -7)) (pow x -7) -7 -5/128 (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (pow x -5/2) -5/2 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))
4.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x -1/8 (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (sqrt (pow x -7)) (pow x -7) -7 -5/128 (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (pow x -5/2) -5/2 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x -1/8 (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (sqrt (pow x -7)) (pow x -7) -7 -5/128 (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (pow x -5/2) -5/2 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (/ -1/8 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))

rewrite82.0ms (3.7%)

Memory
-12.5MiB live, 89.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03854343
04333436
019393279
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
149 → 237
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -7 binary64)))
(pow.f64 x #s(literal -7 binary64))
#s(literal -7 binary64)
#s(literal -5/128 binary64)
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 4))))
#s(approx (sqrt (pow x -7)) #s(hole binary64 (sqrt (/ 1 (pow x 7)))))
#s(approx (pow x -7) #s(hole binary64 (/ 1 (pow x 7))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))))
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (sqrt (pow x -7)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
Outputs
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#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) x))))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) -1/8) (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (/ 1 (sqrt (* (* x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (sqrt (* (* x x) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (+ (* (sqrt (pow x -7)) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -1 binary64)) #s(literal 5/128 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (pow x -7)) (neg.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -1 binary64))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (pow x -5/2) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt x) 1/2) (/ -1/8 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (/ (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (/ -1/8 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x))) x)))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) x)))

eval28.0ms (1.3%)

Memory
47.2MiB live, 47.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 969 to 1 271 computations (68% saved)

prune17.0ms (0.8%)

Memory
-28.7MiB live, 17.2MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New2692271
Fresh066
Picked235
Done022
Total27113284
Accuracy
99.9%
Counts
284 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.7%
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
98.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
28.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
25.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
Compiler

Compiled 525 to 472 computations (10.1% saved)

series40.0ms (1.9%)

Memory
0.3MiB live, 46.5MiB allocated; 3ms collecting garbage
Counts
51 → 215
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal -7/2 binary64))
x
#s(literal -7/2 binary64)
#s(literal -5/128 binary64)
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal -1/8 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 4))))
#s(approx (pow x -7/2) #s(hole binary64 (sqrt (/ 1 (pow x 7)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))))
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ -1/8 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ (/ -1/8 (sqrt x)) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (pow x -7/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ -1/8 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (pow x -7/2) x -7/2 -5/128 (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (pow x -5/2) -5/2 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (/ -1/8 (sqrt (* (* x x) x))) -1/8 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/ (/ -1/8 (sqrt x)) x) (/ -1/8 (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) (* -5/128 (sqrt x)) (* (* x x) (* x x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
10.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (pow x -7/2) x -7/2 -5/128 (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (pow x -5/2) -5/2 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (/ -1/8 (sqrt (* (* x x) x))) -1/8 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/ (/ -1/8 (sqrt x)) x) (/ -1/8 (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) (* -5/128 (sqrt x)) (* (* x x) (* x x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
8.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (pow x -7/2) x -7/2 -5/128 (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (pow x -5/2) -5/2 1/16 (/ 1/2 (sqrt x)) 1/2 (sqrt x) (/ -1/8 (sqrt (* (* x x) x))) -1/8 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/ (/ -1/8 (sqrt x)) x) (/ -1/8 (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* 1/16 (sqrt x)) (* -5/128 (sqrt x)) (* (* x x) (* x x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))

rewrite200.0ms (9.2%)

Memory
16.6MiB live, 148.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08818592
09736357
151946139
080755908
Stop Event
iter-limit
node-limit
iter-limit
Counts
266 → 530
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal -7/2 binary64))
x
#s(literal -7/2 binary64)
#s(literal -5/128 binary64)
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal -1/8 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))
(*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))
(*.f64 (*.f64 x x) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 4))))
#s(approx (pow x -7/2) #s(hole binary64 (sqrt (/ 1 (pow x 7)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 3))))
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (/ -1/8 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ (/ -1/8 (sqrt x)) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) #s(hole binary64 (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (pow x -7/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ -1/8 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Outputs
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))))
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 3 binary64)) #s(literal -125/2097152 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -7/2 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -7/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -7/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -7/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -7/2 binary64)))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -7 binary64))
(pow.f64 x #s(literal -7/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -7 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -7/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -7/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -7/2 binary64))))
x
#s(literal -7/2 binary64)
#s(literal -5/128 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 3 binary64)) #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -5/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -5/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -5/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal -5/2 binary64)))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -5 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -5/2 binary64))))
#s(literal -5/2 binary64)
#s(literal 1/16 binary64)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal -1/8 binary64)
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (*.f64 x x) (sqrt.f64 x))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
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#s(approx (+ (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/ -1/8 (sqrt (* (* x x) x)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)))
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#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (pow x -7/2) (pow.f64 x #s(literal -7/2 binary64)))
#s(approx x x)
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (pow x -5/2) (pow.f64 x #s(literal -5/2 binary64)))
#s(approx (/ 1/2 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ (/ -1/8 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64)))
#s(approx (pow (sqrt x) 3) (*.f64 (sqrt.f64 x) x))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64)))
#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (/ -1/8 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64)))
#s(approx (/ -1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64)))
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#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
#s(approx (* -1/8 (sqrt x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
#s(approx (* -5/128 (sqrt x)) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x)) (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(literal 1 binary64))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(literal 1 binary64))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (sqrt x) 3) (*.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (+.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) x (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (sqrt.f64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))))
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#s(approx (+ (* (pow x -7/2) -5/128) (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
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#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x -5/2) 1/16) (/ 1/2 (sqrt x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))
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#s(approx (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 1/2 (sqrt x)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
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#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))))
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#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64)))
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#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
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#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
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#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (-.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
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#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
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#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (sqrt.f64 x) x))
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#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
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#s(approx (+ 1 x) x)
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#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (+.f64 x x))
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#s(approx (* (sqrt (+ 1 x)) (sqrt x)) x)
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#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
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#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)) x)))

eval92.0ms (4.2%)

Memory
-22.4MiB live, 125.0MiB allocated; 38ms collecting garbage
Compiler

Compiled 10 025 to 3 690 computations (63.2% saved)

prune30.0ms (1.4%)

Memory
38.7MiB live, 38.7MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New7473750
Fresh213
Picked415
Done055
Total75310763
Accuracy
100.0%
Counts
763 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.3%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
8.7%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
6.7%
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
97.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
97.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 450 to 277 computations (38.4% saved)

regimes27.0ms (1.3%)

Memory
-24.2MiB live, 21.9MiB allocated; 4ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
Calls

2 calls:

16.0ms
x
9.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.6%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
Calls

2 calls:

8.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes11.0ms (0.5%)

Memory
-25.6MiB live, 21.5MiB allocated; 2ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
Calls

2 calls:

5.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.5%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.5%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.3%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.2%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.3%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.2%1x
98.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.3%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.8%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
1.6%1x
1.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

derivations52.0ms (2.4%)

Memory
-11.3MiB live, 44.1MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 113 to 78 computations (31% saved)

preprocess73.0ms (3.4%)

Memory
-18.0MiB live, 120.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 132 to 96 computations (27.3% saved)

end0.0ms (0%)

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

Profiling

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