2nthrt (problem 3.4.6)

Time bar (total: 14.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze227.0ms (1.6%)

Memory
-13.8MiB live, 569.0MiB allocated; 106ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample11.6s (81.4%)

Memory
72.8MiB live, 4 371.1MiB allocated; 812ms collecting garbage
Samples
8.1s5 944×5exit
1.2s2 846×2valid
895.0ms2 873×1valid
179.0ms2 537×0valid
130.0ms1 536×0exit
125.0ms1 062×1exit
92.0ms127×4exit
3.0ms3exit
Precisions
Click to see histograms. Total time spent on operations: 10.0s
ival-pow: 8.2s (82.1% of total)
adjust: 1.2s (12% of total)
ival-div!: 339.0ms (3.4% of total)
ival-add!: 124.0ms (1.2% of total)
ival-sub!: 124.0ms (1.2% of total)
exact: 0.0ms (0% of total)
Bogosity

preprocess177.0ms (1.2%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02588
14184
26084
312984
457782
5568082
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series62.0ms (0.4%)

Memory
-20.6MiB live, 23.5MiB allocated; 10ms collecting garbage
Counts
8 → 55
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#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 (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
20.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
16.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
1.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
1.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))

rewrite136.0ms (0.9%)

Memory
2.1MiB live, 46.7MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03272278
03332030
121232017
081701898
Stop Event
iter-limit
node-limit
iter-limit
Counts
63 → 102
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#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 (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #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 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1 binary64) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
n
(*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) 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 (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) (*.f64 (*.f64 x x) x))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/3 binary64) n)) x)))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/3 binary64) n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal 1/4 binary64) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) n))) x)))) x))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/3 binary64) n)) x)))) x)) (neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)) n))) x)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ 1 n) (/.f64 #s(literal 1 binary64) n))
#s(approx n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64))))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))

eval10.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 588 to 502 computations (68.4% saved)

prune11.0ms (0.1%)

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New811596
Fresh000
Picked101
Done000
Total821597
Accuracy
98.6%
Counts
97 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.1%
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.6%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))))
34.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))))
16.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
16.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
21.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
40.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
39.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
49.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)))) n))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
53.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
40.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
62.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
Compiler

Compiled 724 to 598 computations (17.4% saved)

series142.0ms (1%)

Memory
-25.6MiB live, 79.3MiB allocated; 12ms collecting garbage
Counts
45 → 254
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))
#s(literal 1/6 binary64)
(*.f64 (*.f64 n n) n)
(*.f64 n n)
(-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (log x) n)))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (log x) n))))))
#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (/ (log x) n)))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ 1 n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (+ (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (/ (log (/ 1 x)) n)))))
#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (* -1 (/ (log (/ 1 x)) n))))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (/ (log (/ 1 x)) n)))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (/ (+ 1 x) x) #s(hole binary64 1))
#s(approx (/ (+ 1 x) x) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (* (pow n 2) x))))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
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#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
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#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
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#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (* x (- (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (* (pow n 2) x))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx n #s(hole binary64 n))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/6 (/ (pow x 3) (pow n 3)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/6 (/ (pow x 2) (pow n 3)))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* 1/6 (/ x (pow n 3)))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/6 (/ x (pow n 3)))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* 1/3 (* n x)))))) (pow n 3))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/6 (pow n 3))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (+ 1/6 (* -1/2 n)) (pow n 3))))
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#s(approx (/ 1/6 (* (* n n) n)) #s(hole binary64 (/ 1/6 (pow n 3))))
#s(approx (* (* n n) n) #s(hole binary64 (pow n 3)))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ -1/2 (pow n 2))))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- (* 1/3 n) 1/2) (pow n 2))))
#s(approx (/ 1/3 n) #s(hole binary64 (/ 1/3 n)))
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x))))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
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#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 2))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) (pow n 2))) (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))))
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#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/3 x) 1/2) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/3 (/ x n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/3 n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ 1/3 n)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (/ (- (pow x 2) 1) (- x 1))) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) n))) n)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 x)) n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x)) n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x)) n))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3 (/ 1/2 (* n n)) 1/2 (/ 1/2 n))
26.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3 (/ 1/2 (* n n)) 1/2 (/ 1/2 n))
24.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3 (/ 1/2 (* n n)) 1/2 (/ 1/2 n))
22.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3 (/ 1/2 (* n n)) 1/2 (/ 1/2 n))
16.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (log x) x n (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (* x x) (- x 1) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (/ 1/6 (* (* n n) n)) 1/6 (* (* n n) n) (* n n) (- (/ 1/3 n) (/ 1/2 (* n n))) (/ 1/3 n) 1/3 (/ 1/2 (* n n)) 1/2 (/ 1/2 n))

rewrite164.0ms (1.1%)

Memory
5.7MiB live, 50.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106210670
011278823
166718823
082328369
Stop Event
iter-limit
node-limit
iter-limit
Counts
299 → 456
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
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(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
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(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
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#s(literal 1/2 binary64)
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (exp (neg (* -1 (/ (log x) n)))) (* n x))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (exp (neg (* -1 (/ (log x) n))))))
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#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
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#s(approx (/ (+ 1 x) x) #s(hole binary64 (/ 1 x)))
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#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
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#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 1))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
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#s(approx (* x x) #s(hole binary64 (pow x 2)))
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#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
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#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ 1/2 (pow n 2))))
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#s(approx (+ x 1) #s(hole binary64 x))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
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#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
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#s(approx (neg (/ (neg (log x)) n)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
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#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
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#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x)))))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (* x (- (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (* (pow n 2) x))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx n #s(hole binary64 n))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/6 (/ (pow x 3) (pow n 3)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/6 (/ (pow x 2) (pow n 3)))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* 1/6 (/ x (pow n 3)))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/6 (/ x (pow n 3)))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* 1/3 (* n x)))))) (pow n 3))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/6 (pow n 3))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (+ 1/6 (* -1/2 n)) (pow n 3))))
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#s(approx (/ 1/6 (* (* n n) n)) #s(hole binary64 (/ 1/6 (pow n 3))))
#s(approx (* (* n n) n) #s(hole binary64 (pow n 3)))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ -1/2 (pow n 2))))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- (* 1/3 n) 1/2) (pow n 2))))
#s(approx (/ 1/3 n) #s(hole binary64 (/ 1/3 n)))
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ 1 (* n x))))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 1))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
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#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 2))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) (pow n 2))) (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))))
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#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/3 x) 1/2) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* 1/3 (/ x n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ 1/3 n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ 1/3 n)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (/ (- 1/3 (* 1/2 (/ 1 n))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (exp (neg (/ (neg (log x)) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (/ (- (pow x 2) 1) (- x 1))) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) n))) n)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n)))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (* -1/3 x)) n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x)) n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x)) n))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))))
Outputs
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (neg.f64 (*.f64 n x)))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (log.f64 x) n))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 x) n)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (log.f64 x) n))))
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
(*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 x) n)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) n)
(neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (log.f64 x) n) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(*.f64 (log.f64 x) #s(literal -1 binary64))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 x)
x
n
(*.f64 n x)
(*.f64 x n)
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (neg.f64 n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (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 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (fma.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (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 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))))
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#s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (neg.f64 (/.f64 (log.f64 x) n))))
#s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x)))
#s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x))
#s(approx (log (/ (+ 1 x) x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))))
#s(approx (log (/ (+ 1 x) x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))))
#s(approx (/ (+ 1 x) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ 1 x) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- x 1) #s(literal -1 binary64))
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#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 #s(literal 1 binary64) n))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (fma.f64 (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (fma.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (*.f64 x x)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
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#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (exp (neg (/ (neg (log x)) n))) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))
#s(approx (/ (neg (log x)) n) (neg.f64 (/.f64 (log.f64 x) n)))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x)))) x))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) n))) x))
#s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x))) x))
#s(approx (/ (+ 1 x) x) #s(literal 1 binary64))
#s(approx (/ (+ 1 x) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (*.f64 x x)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (*.f64 (*.f64 x x) x)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (* x x) 1) (*.f64 x x))
#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) x)) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 n n) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) (*.f64 (*.f64 x x) x)))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (exp.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (log.f64 #s(literal -1 binary64))) n)))
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#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx n n)
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#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n x)) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) #s(literal -1/2 binary64))) n)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (log.f64 x))) n)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) n)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (neg.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n)))) n)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) n) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (*.f64 x x))) n))) n)) #s(literal 1 binary64)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) n) #s(literal 1/6 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x)) n))) #s(literal 1 binary64)) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n)))
#s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) n)))
#s(approx (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n)))
#s(approx (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 1/3 binary64)) n)))
#s(approx (- (/ 1/3 n) (/ 1/2 (* n n))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n)))

eval42.0ms (0.3%)

Memory
33.2MiB live, 33.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 080 to 2 358 computations (66.7% saved)

prune27.0ms (0.2%)

Memory
-25.1MiB live, 19.7MiB allocated; 4ms collecting garbage
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New34326369
Fresh7310
Picked415
Done000
Total35430384
Accuracy
99.5%
Counts
384 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.3%
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
26.8%
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.9%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
8.5%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
30.1%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
21.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
40.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
63.9%
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
40.5%
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
54.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
53.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
30.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
43.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
50.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
46.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
52.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
43.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
62.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
30.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
50.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
46.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
Compiler

Compiled 1 435 to 1 304 computations (9.1% saved)

series123.0ms (0.9%)

Memory
-4.7MiB live, 94.3MiB allocated; 11ms collecting garbage
Counts
34 → 201
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n)
#s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x))
(+.f64 (neg.f64 (log.f64 x)) x)
(neg.f64 (log.f64 x))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (exp (/ (log x) n)) (* n x))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (neg (/ (log x) n)) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log x) n) #s(hole binary64 (/ (log x) n)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (- x (log x))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (/ (log x) n)) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ 1 n)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (neg (/ (log x) n)) #s(hole binary64 (/ (log (/ 1 x)) n)))
#s(approx (/ (log x) n) #s(hole binary64 (* -1 (/ (log (/ 1 x)) n))))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (+ (neg (log x)) x) #s(hole binary64 x))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (* x (+ 1 (/ (log (/ 1 x)) x)))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (exp (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (exp (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))))
#s(approx (neg (/ (log x) n)) #s(hole binary64 (* -1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))))
#s(approx (/ (log x) n) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
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#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (/ (- (pow x 2) 1) (- x 1))) n)) (exp (/ (log x) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/2 (* -1/2 n)) (pow n 2))))
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 1))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (/ (- (pow x 2) 1) (- x 1))) (log x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 2))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (+ (* 1/24 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 2))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) (pow n 2))) (/ (log (/ (- (pow x 2) 1) (- x 1))) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) (pow n 2))) (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (exp (/ (log x) n)) #s(hole binary64 1))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
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#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (/ (- (pow x 2) 1) (- x 1))) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) (pow (exp -1) (neg (/ (log x) n))) (exp -1) -1 (neg (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n)))
21.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) (pow (exp -1) (neg (/ (log x) n))) (exp -1) -1 (neg (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n)))
19.0ms
x
@0
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19.0ms
n
@-inf
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17.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) (pow (exp -1) (neg (/ (log x) n))) (exp -1) -1 (neg (/ (log x) n)) (/ (log x) n) (log x) x n (* n x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (neg (log x)) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) 1/2 (* n n) (/ 1/2 n) (/ 1 n) (pow x (/ 1 n)))

rewrite143.0ms (1%)

Memory
-1.8MiB live, 43.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08277650
08676416
151176232
082195934
Stop Event
iter-limit
node-limit
iter-limit
Counts
235 → 351
Calls
Call 1
Inputs
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#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
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#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (/ (- (pow x 2) 1) (- x 1))) n)) (exp (/ (log x) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow n 2)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* 1/2 (/ x (pow n 2)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/2 (* -1/2 n)) (pow n 2))))
#s(approx (/ 1/2 (* n n)) #s(hole binary64 (/ 1/2 (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 1))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (/ (- (pow x 2) 1) (- x 1))) (log x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 2))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (/ (- (pow x 2) 1) (- x 1))) (+ (* 1/24 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 2))) (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) (pow n 2))) (/ (log (/ (- (pow x 2) 1) (- x 1))) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) (pow n 2))) (/ (log (/ (- (pow x 2) 1) (- x 1))) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (+ (/ 1 x) (/ (log x) (* n x))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)))
#s(approx (exp (/ (log x) n)) #s(hole binary64 1))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (* -1/2 x)) n)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (/ (pow (exp -1) (neg (/ (log x) n))) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (/ (- (pow x 2) 1) (- x 1))) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (/ (- (pow x 2) 1) (- x 1))) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1/2 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 2) n))) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (/ (- (pow x 2) 1) (- x 1)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (/ (- (pow x 2) 1) (- x 1))) 3) n)) (* 1/2 (pow (log (/ (- (pow x 2) 1) (- x 1))) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (exp (/ (log x) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (* 1/2 x) 1) n))))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (neg.f64 (*.f64 n x)))
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#s(approx n n)
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#s(approx (* n n) (*.f64 n n))
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#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 n n) n)) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64))))) n))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
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#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 n n) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 x) (*.f64 n x))) n))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (*.f64 n n) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (log.f64 x) (*.f64 n x)))) n))
#s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n)) #s(literal 1 binary64)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n x)) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) #s(literal -1/2 binary64))) n)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n x)) #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) #s(literal -1/2 binary64))) n)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) n)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) n)) #s(literal 1 binary64)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)))
#s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))

eval28.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 755 to 1 484 computations (60.5% saved)

prune27.0ms (0.2%)

Memory
-28.2MiB live, 18.9MiB allocated; 1ms collecting garbage
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New25116267
Fresh81624
Picked235
Done011
Total26136297
Accuracy
99.5%
Counts
297 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.3%
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
26.8%
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.9%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
8.5%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
17.6%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
40.5%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
30.1%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
24.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
26.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
40.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
63.9%
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))) (*.f64 n x)))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
53.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
46.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
52.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
43.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
26.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (log.f64 x) (log.f64 x) (*.f64 x (log.f64 x)))))) n))
26.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
30.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
43.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
50.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
4.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
62.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
30.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
50.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
46.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
Compiler

Compiled 1 592 to 1 460 computations (8.3% saved)

series195.0ms (1.4%)

Memory
-39.9MiB live, 93.5MiB allocated; 91ms collecting garbage
Counts
35 → 176
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))) (*.f64 n x)))
(/.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))) (*.f64 n x))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(exp.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))
(/.f64 (log.f64 x) (neg.f64 n))
(log.f64 x)
x
(neg.f64 n)
n
#s(literal 2 binary64)
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
(/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n)
#s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x))
#s(approx (+ (neg (log x)) x) x)
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) #s(hole binary64 (/ (exp (* -1/2 (/ (* (log x) (log (pow (exp -1) 2))) n))) (* n x))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(hole binary64 (exp (* -1/2 (/ (* (log x) (log (pow (exp -1) 2))) n)))))
#s(approx (/ (/ (log x) (neg n)) 2) #s(hole binary64 (* -1/2 (/ (log x) n))))
#s(approx (/ (log x) (neg n)) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx x #s(hole binary64 x))
#s(approx (* n x) #s(hole binary64 (* n x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (/ x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (* -1 (log x))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ x (* -1 (log x)))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (* -1 (log x))))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (- x (log x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (+ (/ (log x) n) 1) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (/ (log x) n) #s(hole binary64 (/ (log x) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ (/ x n) 1) #s(hole binary64 1))
#s(approx (+ (/ x n) 1) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (/ x n) #s(hole binary64 (/ x n)))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) #s(hole binary64 (/ (exp (* 1/2 (/ (* (log (/ 1 x)) (log (pow (exp -1) 2))) n))) (* n x))))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(hole binary64 (exp (* 1/2 (/ (* (log (/ 1 x)) (log (pow (exp -1) 2))) n)))))
#s(approx (/ (/ (log x) (neg n)) 2) #s(hole binary64 (* 1/2 (/ (log (/ 1 x)) n))))
#s(approx (/ (log x) (neg n)) #s(hole binary64 (/ (log (/ 1 x)) n)))
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ 1 (* n x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ 1 x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)))
#s(approx (log (/ (+ 1 x) x)) #s(hole binary64 (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)))
#s(approx (+ (neg (log x)) x) #s(hole binary64 x))
#s(approx (+ (neg (log x)) x) #s(hole binary64 (* x (+ 1 (/ (log (/ 1 x)) x)))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
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#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
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Calls

6 calls:

TimeVariablePointExpression
67.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ (log x) (neg n)) 2) (/ (log x) (neg n)) (log x) x (neg n) n 2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1))
49.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ (log x) (neg n)) 2) (/ (log x) (neg n)) (log x) x (neg n) n 2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1))
23.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ (log x) (neg n)) 2) (/ (log x) (neg n)) (log x) x (neg n) n 2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1))
20.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ (log x) (neg n)) 2) (/ (log x) (neg n)) (log x) x (neg n) n 2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1))
18.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* (exp -1) (exp -1)) (exp -1) -1 (/ (/ (log x) (neg n)) 2) (/ (log x) (neg n)) (log x) x (neg n) n 2 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (+ (neg (log x)) x) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) 1 (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (/ 1 n) (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1))

rewrite141.0ms (1%)

Memory
43.6MiB live, 43.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08076910
08435705
150595515
084285229
Stop Event
iter-limit
node-limit
iter-limit
Counts
211 → 307
Calls
Call 1
Inputs
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x
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
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Outputs
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) (*.f64 n x)))
(/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) n) x)
(/.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))) (neg.f64 (*.f64 n x)))
(/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) (*.f64 n x))
(*.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64))))) (fabs.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))) (fabs.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))))
(*.f64 (pow.f64 (neg.f64 (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (pow.f64 (neg.f64 (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))
(*.f64 (pow.f64 (fabs.f64 (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (pow.f64 (fabs.f64 (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))
(*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))))
(pow.f64 (*.f64 (exp.f64 #s(literal -2 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) (sinh.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))))
(*.f64 (fabs.f64 (fabs.f64 (exp.f64 #s(literal -1 binary64)))) (fabs.f64 (fabs.f64 (exp.f64 #s(literal -1 binary64)))))
(*.f64 (neg.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (fabs.f64 (exp.f64 #s(literal -1 binary64))) (fabs.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64)))
(pow.f64 (neg.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64)))
(-.f64 (cosh.f64 #s(literal 2 binary64)) (sinh.f64 #s(literal 2 binary64)))
(fabs.f64 (exp.f64 #s(literal -2 binary64)))
(exp.f64 #s(literal -2 binary64))
(+.f64 (cosh.f64 #s(literal -2 binary64)) (sinh.f64 #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1 binary64)))
(-.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal 1 binary64)))
(exp.f64 #s(literal -1 binary64))
(+.f64 (cosh.f64 #s(literal -1 binary64)) (sinh.f64 #s(literal -1 binary64)))
#s(literal -1 binary64)
(/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))
(/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))
(/.f64 (log.f64 x) (*.f64 (neg.f64 n) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 x) n) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)))
(log.f64 x)
x
(*.f64 #s(literal -1 binary64) n)
(*.f64 n #s(literal -1 binary64))
(neg.f64 n)
n
#s(literal 2 binary64)
(*.f64 n x)
(*.f64 x n)
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
(/.f64 (neg.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x))) (neg.f64 n))
(/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n)
#s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x))
#s(approx (+ (neg (log x)) x) x)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))))
(fma.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (neg.f64 n))))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) (/.f64 x n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) (fma.f64 (/.f64 x n) (/.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 #s(literal 1 binary64) (/.f64 x n)))))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 (neg.f64 x) (neg.f64 n))
(/.f64 x n)
(*.f64 (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
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(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
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(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
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(pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) n)))
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(/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(/.f64 (-.f64 (*.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 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (/.f64 (exp.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) n) #s(literal -1/2 binary64))) (*.f64 n x)))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (exp.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) n) #s(literal -1/2 binary64))))
#s(approx (/ (/ (log x) (neg n)) 2) (*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) n)))
#s(approx (/ (log x) (neg n)) (/.f64 (log.f64 x) (neg.f64 n)))
#s(approx (log x) (log.f64 x))
#s(approx x x)
#s(approx (* n x) (*.f64 n x))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log.f64 x) (neg.f64 n)))
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#s(approx (+ (neg (log x)) x) (neg.f64 (log.f64 x)))
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#s(approx (- x 1) x)
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#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 n x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (/.f64 #s(literal 4 binary64) (*.f64 n x))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) x) #s(literal -1/2 binary64))) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (* n x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) x) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 n x))) #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (/.f64 #s(literal 4 binary64) x)) #s(literal -1/8 binary64))) n))) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (/.f64 #s(literal 4 binary64) n)) #s(literal -1/8 binary64))) n)) #s(literal 1 binary64)))
#s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -8 binary64)) n) #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))) n))) n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)) #s(literal 1 binary64)))

eval30.0ms (0.2%)

Memory
-25.8MiB live, 21.3MiB allocated; 1ms collecting garbage
Compiler

Compiled 3 439 to 1 314 computations (61.8% saved)

prune30.0ms (0.2%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New2416247
Fresh52227
Picked235
Done044
Total24835283
Accuracy
99.5%
Counts
283 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.0%
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.9%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
8.5%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
17.6%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
40.5%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
30.1%
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
24.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
26.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
40.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
63.9%
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
62.6%
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
63.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
53.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
43.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
46.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
52.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
26.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (log.f64 x) (log.f64 x) (*.f64 x (log.f64 x)))))) n))
26.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
30.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
43.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
50.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
27.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
4.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
30.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
50.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
46.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
Compiler

Compiled 1 706 to 1 158 computations (32.1% saved)

regimes62.0ms (0.4%)

Memory
-16.2MiB live, 30.3MiB allocated; 2ms collecting garbage
Counts
64 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (log.f64 x) (log.f64 x) (*.f64 x (log.f64 x)))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x)))) n)) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1/2 binary64))) n)) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 n n) n)) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n) #s(literal 1/2 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64)))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

17.0ms
n
15.0ms
x
15.0ms
(/.f64 #s(literal 1 binary64) n)
11.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
83.9%4(/.f64 #s(literal 1 binary64) n)
79.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
79.0%2x
83.9%5n
Compiler

Compiled 16 to 16 computations (0% saved)

regimes15.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
55 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (log.f64 x) (log.f64 x) (*.f64 x (log.f64 x)))))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) x (neg.f64 (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64)) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes15.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
53 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) x) n)) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 2 binary64))) (*.f64 n x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes18.0ms (0.1%)

Memory
-41.8MiB live, 7.9MiB allocated; 4ms collecting garbage
Counts
46 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal -2 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
43 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- x 1) x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 x n) #s(literal 1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
41 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64))) (*.f64 n x)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
82.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes11.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
37 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
82.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes28.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
36 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal -1 binary64)))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 x (log.f64 x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 n n) n)) #s(literal 1/6 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
Calls

3 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
x
9.0ms
n
Results
AccuracySegmentsBranch
76.0%4x
83.5%6n
83.5%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes9.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
31 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
Outputs
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
Calls

1 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.3%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes21.0ms (0.1%)

Memory
-35.1MiB live, 12.3MiB allocated; 1ms collecting garbage
Counts
28 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
Calls

3 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
n
5.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
67.7%4n
76.2%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
69.9%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes6.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (+ (* (+ (/ 1/6 (* (* n n) n)) (- (/ 1/3 n) (/ 1/2 (* n n)))) x) (/ 1/2 (* n n))) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

4.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
76.2%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
61.4%3x
71.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes4.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
Calls

1 calls:

3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
70.4%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
Calls

3 calls:

4.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
n
3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
60.5%3n
60.5%3(/.f64 #s(literal 1 binary64) n)
64.2%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes14.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 (neg.f64 (log.f64 x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

4 calls:

4.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
n
3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
53.8%5(/.f64 #s(literal 1 binary64) n)
52.9%4n
60.3%3x
43.5%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 #s(approx (+ 1 x) #s(literal 1 binary64)) x)) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
60.1%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
-45.2MiB live, 2.5MiB allocated; 1ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
59.8%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 #s(literal 1 binary64) x)) n))
Calls

3 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
50.1%3(/.f64 #s(literal 1 binary64) n)
50.1%3n
48.2%2x
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes4.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (exp -1) (neg (/ (log x) n))) #s(literal 1 binary64)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow (* (exp -1) (exp -1)) (/ (/ (log x) (neg n)) 2)) #s(literal 1 binary64)) (*.f64 n x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(literal 1 binary64)) (*.f64 n x)))
Calls

2 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
Results
AccuracySegmentsBranch
50.0%3(/.f64 #s(literal 1 binary64) n)
50.0%3n
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes5.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Accuracy

Total -17.2b remaining (-38.5%)

Threshold costs -17.2b (-38.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (+ (neg (log x)) x) x)) n))
Outputs
(-.f64 #s(approx (pow (/ (- (* x x) 1) (- x 1)) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

4 calls:

1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
x
1.0ms
n
1.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
30.1%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.1%1x
30.1%1(/.f64 #s(literal 1 binary64) n)
30.1%1n
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.869090262308331e+187
4.1048557685399355e+202
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1103542610680275e+159
2.6857934111735027e+174
0.0ms
0.11226818607819725
11.499794399500038
0.0ms
2.623332735419415e-166
1.927017987391855e-164
0.0ms
-1.3744696403924263e-24
-1.8226901526097926e-27
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.404432126150823e-13
0.0026606205577474062
0.0ms
-4.327051516345962e+98
-2.966116241509553e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.404432126150823e-13
0.0026606205577474062
0.0ms
-4.327051516345962e+98
-2.966116241509553e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0026606205577474062
1.0
0.0ms
-inf
-4.327051516345962e+98
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0026606205577474062
1.0
0.0ms
-4.327051516345962e+98
-2.966116241509553e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0026606205577474062
1.0
0.0ms
-4.327051516345962e+98
-2.966116241509553e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch64.0ms (0.4%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
2.570498911265169e+182
7.114999013959714e+183
27.0ms
2.2111745608581792e-5
2.729448069154343
Samples
34.0ms109×2valid
9.0ms62×1valid
5.0ms85×0valid
1.0ms21×0exit
Compiler

Compiled 594 to 591 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 31.0ms (72.6% of total)
adjust: 6.0ms (14% of total)
ival-div!: 3.0ms (7% of total)
ival-add!: 1.0ms (2.3% of total)
ival-sub!: 1.0ms (2.3% of total)

bsearch5.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.570498911265169e+182
7.114999013959714e+183
4.0ms
2.2111745608581792e-5
2.729448069154343
Samples
1.0ms1valid
1.0ms2valid
0.0ms0exit
0.0ms0valid
Compiler

Compiled 546 to 543 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-pow: 2.0ms (90.2% of total)
adjust: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.570498911265169e+182
7.114999013959714e+183
16.0ms
2.2111745608581792e-5
2.729448069154343
Samples
6.0ms42×1valid
4.0ms15×2valid
3.0ms39×0valid
Compiler

Compiled 546 to 543 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow: 7.0ms (67.1% of total)
adjust: 1.0ms (9.6% of total)
ival-div!: 1.0ms (9.6% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
-1.2076397073354618e-168
-1.1611099954184743e-171
15.0ms
-0.8757763948049159
-0.007656900295320142
Samples
13.0ms210×0valid
5.0ms30×1valid
Compiler

Compiled 510 to 507 computations (0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow: 10.0ms (72.2% of total)
ival-div!: 2.0ms (14.4% of total)
adjust: 1.0ms (7.2% of total)
ival-add!: 1.0ms (7.2% of total)
ival-sub!: 1.0ms (7.2% of total)

bsearch2.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.2076397073354618e-168
-1.1611099954184743e-171
1.0ms
-0.8757763948049159
-0.007656900295320142
Compiler

Compiled 526 to 523 computations (0.6% saved)

derivations394.0ms (2.8%)

Memory
-33.1MiB live, 14.2MiB allocated; 1ms collecting garbage
Stop Event
fuel
Compiler

Compiled 427 to 243 computations (43.1% saved)

preprocess150.0ms (1.1%)

Memory
18.6MiB live, 208.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 438 to 251 computations (42.7% saved)

end0.0ms (0%)

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

Profiling

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