2sqrt (example 3.1)

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB 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)

sample1.0s (54.6%)

Memory
-37.8MiB live, 808.2MiB allocated; 214ms collecting garbage
Samples
770.0ms8 157×1valid
3.0ms99×0valid
Precisions
Click to see histograms. Total time spent on operations: 562.0ms
ival-sqrt: 247.0ms (43.9% of total)
adjust: 166.0ms (29.5% of total)
ival-add!: 113.0ms (20.1% of total)
ival-sub!: 37.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess66.0ms (3.5%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms 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 (0.3%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

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

rewrite64.0ms (3.4%)

Memory
-16.5MiB live, 36.8MiB allocated; 8ms 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
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 418 to 193 computations (53.8% saved)

prune5.0ms (0.3%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743
Accuracy
99.8%
Counts
43 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(/.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))
3.9%
(-.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))
99.2%
#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))
99.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 178 to 162 computations (9% saved)

series22.0ms (1.2%)

Memory
-28.8MiB live, 16.9MiB allocated; 3ms collecting garbage
Counts
31 → 94
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))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.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)))
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 (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#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 (- (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 (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (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))))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
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)) (sqrt (+ x 1)) (+ 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))))
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)) (sqrt (+ x 1)) (+ 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))))
3.0ms
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)) (sqrt (+ x 1)) (+ 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))))

rewrite71.0ms (3.8%)

Memory
-1.4MiB live, 43.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513130
03952448
018532357
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
125 → 193
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))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.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)) #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 (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#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 (- (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 (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (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))))))))
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))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 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)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.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)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(pow.f64 #s(approx (+ x 1) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #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))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 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 #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)))
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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))))) 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))))
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#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)))
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#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)))
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#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 (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#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 (- (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))
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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)))
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#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))
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#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))
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#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (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)))
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#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)))
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#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
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#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)))
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#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)))

eval22.0ms (1.2%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 827 to 962 computations (66% saved)

prune14.0ms (0.7%)

Memory
-33.9MiB live, 12.4MiB allocated; 2ms collecting garbage
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1859194
Fresh101
Picked415
Done011
Total19011201
Accuracy
99.9%
Counts
201 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
24.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #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)))) x))
99.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
99.1%
#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))
97.9%
#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))
30.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #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)) x))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
98.9%
#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)))
98.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
23.3%
#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 468 to 436 computations (6.8% saved)

series18.0ms (1%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Counts
36 → 128
Calls
Call 1
Inputs
#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 (+.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 (/.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 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(sqrt.f64 x)
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 #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)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#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)))
#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 (*.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 (/ (+ (* (/ 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))
#s(literal -5/128 binary64)
(*.f64 (*.f64 x x) (*.f64 x 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 (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#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 (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ 1/2 (sqrt 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 (* -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 (+ (/ (/ -1/8 (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 (/ (* 1/2 (sqrt 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 (* -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 (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (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 (/ (+ (* (/ 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 (+ (/ (/ -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 (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt 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))))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 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 (+ (/ (/ -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 (/ (+ (* (+ (* (+ (* (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)))))
Calls

3 calls:

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

rewrite86.0ms (4.6%)

Memory
5.3MiB live, 52.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04295228
04894133
021603942
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
164 → 261
Calls
Call 1
Inputs
#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 (+.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 (/.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 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(sqrt.f64 x)
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 #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)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#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)))
#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 (*.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 (/ (+ (* (/ 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))
#s(literal -5/128 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#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 (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ 1/2 (sqrt 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 (* -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 (+ (/ (/ -1/8 (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 (/ (* 1/2 (sqrt 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 (* -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 (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (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 (/ (+ (* (/ 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 (+ (/ (/ -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 (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt 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))))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 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 (+ (/ (/ -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 (/ (+ (* (+ (* (+ (* (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)))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x)
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(-.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.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)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#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 (neg.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)))) (neg.f64 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)))
#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 (-.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 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (*.f64 #s(literal 1/2 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 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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))) x) (* -5/128 (sqrt x))) (*.f64 (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))) (*.f64 (*.f64 (*.f64 x x) 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 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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 (*.f64 x x) 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 (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 (/.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 (*.f64 x x) x) x)))
#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)))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (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))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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) x)))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (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))) (*.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 #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 (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* 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 (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* 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 (/ (+ (/ -1/8 (sqrt x)) (+ (* (/ 1 (sqrt (* (* 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 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 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 (+ (/ -1/8 (sqrt x)) (+ (* (/ 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (/ -1/8 (sqrt x)) (+ (* (/ 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) (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 (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 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)))
#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 (* 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))))) 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) (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)) -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 (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 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 (+ (/ (/ -1/8 (sqrt x)) x) (/ (* 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 (/ (* 1/2 (sqrt x)) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (+ (* (+ (* (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 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))
#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))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) 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))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))) x))))
#s(approx (+ (* (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#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 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) 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 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (*.f64 x x) 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 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (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 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (* -1/8 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (* -5/128 (sqrt x)) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval30.0ms (1.6%)

Memory
-13.1MiB live, 31.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 932 to 1 446 computations (70.7% saved)

prune11.0ms (0.6%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New2674271
Fresh044
Picked325
Done022
Total27012282
Accuracy
99.9%
Counts
282 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
24.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #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)))) x))
99.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
97.9%
#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))
30.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #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)) x))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
98.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
21.6%
#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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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)))))
23.3%
#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 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
Compiler

Compiled 523 to 483 computations (7.6% saved)

series67.0ms (3.6%)

Memory
13.2MiB live, 58.2MiB allocated; 4ms collecting garbage
Counts
47 → 174
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1/16 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#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)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (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 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) 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 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) 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 -5/128 binary64) (sqrt.f64 x))
#s(literal -5/128 binary64)
(*.f64 (*.f64 x x) (*.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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
#s(literal 3 binary64)
(*.f64 #s(literal 1/16 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -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) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ -1/8 (* (sqrt x) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (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 (* -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 (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) x) #s(hole binary64 (* -1/8 (sqrt (pow x 3)))))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* 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 (* -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 (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (sqrt (exp (* (log x) 3))) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (exp (* (log x) 3)) #s(hole binary64 (pow x 3)))
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* 1/2 (/ (sqrt x) 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)) -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 (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) x) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) #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 (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 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 (* (log x) 3) #s(hole binary64 (* -3 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 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 (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/16 (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 (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (/ (sqrt x) 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 (/ (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (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 (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) 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) #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))) #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 (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 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 (sqrt (exp (* (log x) 3))) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (sqrt x) x (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (/ (sqrt x) x) (/ -1/8 (* (sqrt x) x)) (* (sqrt x) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) (sqrt (exp (* (log x) 3))) (exp (* (log x) 3)) (* (log x) 3) (log x) 3 (* 1/16 (sqrt x)))
22.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (sqrt x) x (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (/ (sqrt x) x) (/ -1/8 (* (sqrt x) x)) (* (sqrt x) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) (sqrt (exp (* (log x) 3))) (exp (* (log x) 3)) (* (log x) 3) (log x) 3 (* 1/16 (sqrt x)))
13.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) 1/2 (sqrt x) x (/ 1/16 (sqrt (* (* x x) x))) 1/16 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) (/ -1/8 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (/ (sqrt x) x) (/ -1/8 (* (sqrt x) x)) (* (sqrt x) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (* -1/8 (sqrt x)) (* -5/128 (sqrt x)) -5/128 (* (* x x) (* x 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) x) (* -5/128 (sqrt x))) (+ (* (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) (sqrt (exp (* (log x) 3))) (exp (* (log x) 3)) (* (log x) 3) (log x) 3 (* 1/16 (sqrt x)))

rewrite117.0ms (6.3%)

Memory
-24.9MiB live, 70.1MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04906770
05795461
022315297
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
221 → 377
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1/16 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#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)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (sqrt.f64 x) x)
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (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 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) 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 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) 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 -5/128 binary64) (sqrt.f64 x))
#s(literal -5/128 binary64)
(*.f64 (*.f64 x x) (*.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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(sqrt.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
#s(literal 3 binary64)
(*.f64 #s(literal 1/16 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -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) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ -1/8 (* (sqrt x) x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (sqrt (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 (* -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 (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* -5/128 (sqrt x))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3))))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x)))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) x) #s(hole binary64 (* -1/8 (sqrt (pow x 3)))))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) #s(hole binary64 (* 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 (* -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 (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt x))))
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (sqrt (exp (* (log x) 3))) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (exp (* (log x) 3)) #s(hole binary64 (pow x 3)))
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* 1/16 (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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* 1/2 (/ (sqrt x) 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)) -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 (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* (pow x 3) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) x) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) #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 (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) x) (* 1/16 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 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 (* (log x) 3) #s(hole binary64 (* -3 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 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 (/ 1/16 (sqrt (* (* x x) x))) #s(hole binary64 (* -1/16 (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 (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (/ (sqrt x) 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 (/ (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (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 (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))) 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) #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))) #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 (* -5/128 (sqrt x)) #s(hole binary64 (* 5/128 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (+ (* (+ (* (sqrt (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 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 (exp (* (log x) 3))) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (exp (* (log x) 3))) 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 (sqrt (exp (* (log x) 3))) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (log x) 3) #s(hole binary64 (* 3 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (* 1/16 (sqrt x)) #s(hole binary64 (* -1/16 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
(+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
(/.f64 #s(literal -1/16 binary64) (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1/16 binary64)
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.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))))
(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)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#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 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))) (-.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (-.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 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (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)
(fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) 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))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (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 (*.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))))) 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 (*.f64 x x) x) x)))
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#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) 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 x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1/16 (sqrt (* (* x x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ -1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (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 (/ (sqrt x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ -1/8 (* (sqrt x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64)))
#s(approx (* (sqrt x) x) (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 (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 (*.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))))) 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 (*.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))))) 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 (*.f64 x x) x) x)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (*.f64 x x) x) x)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (*.f64 x x) x) x)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (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))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt 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))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64)))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (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))) 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 (sqrt.f64 (*.f64 (*.f64 x 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 (* -5/128 (sqrt x)) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (*.f64 x x) x) x)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (*.f64 x x) x) x)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (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))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt 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))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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))))
#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 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
#s(approx (sqrt (* (* x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* (log x) 3) (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal 1/16 binary64) (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 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (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))) x))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) 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 (/ (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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)))))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 (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))) x))
#s(approx (+ (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (/ -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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)))) x))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x x) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* 1/2 (sqrt x)) (/ 1/16 (sqrt (* (* x 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))) x))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 (/ (sqrt x) x)) (/ -1/8 (* (sqrt x) 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)) -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) (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) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x 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)))))
#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 (/.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 x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x 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))))
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#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (/.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 (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (* -1/8 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
#s(approx (* -5/128 (sqrt x)) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* x x))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))))
#s(approx (/ (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (* (* x x) (* 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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))) x))))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) x) (* -5/128 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))) x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt x) 1/16) (* (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) 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 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x))) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (sqrt (* (* x x) x)) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (sqrt (* (* x x) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (* (log x) 3) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)))
#s(approx (log x) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (* 1/16 (sqrt x)) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval28.0ms (1.5%)

Memory
40.6MiB live, 40.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 132 to 1 709 computations (66.7% saved)

prune19.0ms (1%)

Memory
-25.1MiB live, 20.6MiB allocated; 12ms collecting garbage
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New2971298
Fresh033
Picked145
Done044
Total29812310
Accuracy
99.9%
Counts
310 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.7%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
24.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #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)))) x))
99.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
97.9%
#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))
30.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #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)) x))
97.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
98.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
21.6%
#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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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)))))
23.3%
#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 (sqrt.f64 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x)))))
Compiler

Compiled 556 to 413 computations (25.7% saved)

regimes11.0ms (0.6%)

Memory
14.2MiB live, 14.1MiB 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 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 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) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (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 #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)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.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 (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.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 (/.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 (-.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)) #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 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.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 (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 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) #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)))) 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 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #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)))))
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:

6.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.2%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.5%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Counts
18 → 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 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 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) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (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 #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)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.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 (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.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 (/.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 (-.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)) #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 x) #s(literal 1/16 binary64) (*.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)) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.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)))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (+.f64 (/.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
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.1%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.1%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes14.0ms (0.8%)

Memory
-35.4MiB live, 10.2MiB allocated; 6ms 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 (fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 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) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (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 #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)) 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:

11.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.0%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.0%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes5.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
7 → 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))
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:

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

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB 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:

1.0ms
x
1.0ms
(-.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)

regimes2.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB 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%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

derivations37.0ms (2%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 68 to 44 computations (35.3% saved)

preprocess115.0ms (6.2%)

Memory
-41.0MiB live, 60.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 87 to 62 computations (28.7% saved)

end0.0ms (0%)

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

Profiling

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