2nthrt (problem 3.4.6)

Time bar (total: 20.9s)

start0.0ms (0%)

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

analyze247.0ms (1.2%)

Memory
-24.2MiB live, 211.5MiB allocated; 49ms 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)

sample16.7s (80.1%)

Memory
325.5MiB live, 16 834.8MiB allocated; 5.6s collecting garbage
Samples
11.8s6 188×5exit
1.8s3 007×2valid
1.2s2 790×1valid
244.0ms2 458×0valid
160.0ms1 044×1exit
143.0ms168×4exit
141.0ms1 492×0exit
2.0ms3exit
1.0ms2exit
1.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 14.5s
ival-pow: 11.6s (79.9% of total)
adjust: 2.0s (13.9% of total)
ival-div!: 462.0ms (3.2% of total)
ival-add!: 224.0ms (1.5% of total)
ival-sub!: 208.0ms (1.4% of total)
exact: 0.0ms (0% of total)
Bogosity

preprocess187.0ms (0.9%)

Memory
-7.8MiB live, 46.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02588
14184
25984
312884
457082
5579782
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(-.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)

series58.0ms (0.3%)

Memory
45.4MiB live, 89.4MiB allocated; 5ms collecting garbage
Counts
8 → 50
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 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 (+ 1 (/ 1 x)))))
#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) (/ 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 (/ (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
24.0ms
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)))
18.0ms
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)))
11.0ms
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)))
2.0ms
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)))

rewrite161.0ms (0.8%)

Memory
-14.2MiB live, 168.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03222228
03281983
121221970
080991851
Stop Event
iter-limit
node-limit
iter-limit
Counts
58 → 95
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 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 (+ 1 (/ 1 x)))))
#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) (/ 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 (/ (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 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.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 (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 (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) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
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 (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 (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 (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) (+.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 1/6 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 #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) (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) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#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) (/ 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)) (+.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)))

eval19.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 508 to 484 computations (67.9% saved)

prune10.0ms (0%)

Memory
-31.8MiB live, 13.0MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh000
Picked101
Done000
Total81990
Accuracy
99.5%
Counts
90 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.8%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
15.6%
(-.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)))
21.5%
(-.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)))
30.9%
(-.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)))
36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.0%
#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))
60.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
59.7%
#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)))
67.5%
#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 370 to 320 computations (13.5% saved)

series262.0ms (1.3%)

Memory
40.7MiB live, 273.2MiB allocated; 58ms collecting garbage
Counts
46 → 294
Calls
Call 1
Inputs
#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)))
(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))
(/.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)
(+.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))
(+.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 (/.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))
(/.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)
(*.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))))
#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)))
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (log.f64 x) (log.f64 x))
(log.f64 x)
n
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) 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)
#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))
(*.f64 n x)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) 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)) (+.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)
#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 (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)
(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))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)
(-.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))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) 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)))))
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Calls

6 calls:

TimeVariablePointExpression
71.0ms
n
@0
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64.0ms
x
@inf
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46.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (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)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
35.0ms
n
@-inf
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23.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (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)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (+ (/ (log x) n) 1) (/ (log x) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))

rewrite193.0ms (0.9%)

Memory
-25.3MiB live, 255.5MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0162414261
0169713374
0822112484
Stop Event
iter-limit
node-limit
iter-limit
Counts
340 → 407
Calls
Call 1
Inputs
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#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n)) (* 1/2 (/ 1 x))) 1) n))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))))
#s(approx (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n))))
Outputs
#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)))
(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))
(/.f64 (neg.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))) (neg.f64 n))
(/.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)
(+.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)))) n) (/.f64 (log.f64 x) n))
(/.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)))) (+.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))))) (*.f64 (log.f64 x) (log.f64 x))) (-.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)))
(/.f64 (+.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.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)))) (+.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)))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.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)))))
(+.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))
(/.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 (/.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))) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (-.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)))))
(/.f64 (+.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.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 (/.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)) (-.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.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)))))))
(+.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 (/.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))
(/.f64 (neg.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))))) (neg.f64 n))
(/.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)
(*.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))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (fma.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)) (*.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))))))
(-.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)))
(*.f64 (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 x (log.f64 x)))
(log.f64 x)
n
(neg.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) 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 (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 (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 (-.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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.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))
#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 (neg.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) (neg.f64 (*.f64 n x)))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(-.f64 (cosh.f64 (/.f64 (neg.f64 (log.f64 x)) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(+.f64 (cosh.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (sinh.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 x)) n)
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 n x)
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 3 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.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 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (+.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 (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 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)
#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 (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 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (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 (neg.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))) (neg.f64 x))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.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))) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.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))) n))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) (*.f64 n x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n x)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n x)))) n) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) n))) n))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (log.f64 x) x))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (log.f64 x) x)))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 x x)))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (log.f64 x) x)))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) n)))
#s(approx (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) n)))
#s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n))) n)) #s(literal 1 binary64)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))) n)) #s(literal 1 binary64)) n)))

eval56.0ms (0.3%)

Memory
7.6MiB live, 95.3MiB allocated; 17ms collecting garbage
Compiler

Compiled 10 788 to 3 174 computations (70.6% saved)

prune32.0ms (0.2%)

Memory
-7.8MiB live, 50.6MiB allocated; 10ms collecting garbage
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New36625391
Fresh044
Picked325
Done000
Total36931400
Accuracy
99.7%
Counts
400 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.8%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
15.6%
(-.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)))
21.5%
(-.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)))
30.9%
(-.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)))
36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
60.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.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))))) n))
60.3%
#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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
60.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
36.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) x)) x))
27.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)) x))
45.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
27.8%
#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) (/.f64 #s(literal 1 binary64) x))) x)) n))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
45.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
30.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
46.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
31.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
66.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) n)))
38.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
60.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
41.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n)))))
31.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) (*.f64 x x))))
33.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)))) (*.f64 n n))))
26.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
34.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
39.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
41.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
Compiler

Compiled 1 882 to 1 572 computations (16.5% saved)

series303.0ms (1.5%)

Memory
-9.5MiB live, 246.5MiB allocated; 158ms collecting garbage
Counts
50 → 286
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) n)))
(neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) n))
(/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) n)
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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))
(/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)
(-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)))))
(*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
n
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.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))))
#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)))
(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (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 x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))
#s(literal -1 binary64)
(/.f64 (log.f64 x) n)
(/.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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n))
(/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)
#s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/3 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n)))
(/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))
(fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(*.f64 n 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 (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* -1 (/ x n)) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* x (- (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* x (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1 x)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) 1/3))) (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (- (* n (log x)) (* -1/2 (pow (log x) 2))) n)))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (* n (log x)) (* -1/2 (pow (log x) 2)))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (+ (* -1 (* n x)) (* n (log x))) (* -1/2 (pow (log x) 2)))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (+ (* n (log x)) (* x (+ (* -1 n) (* x (- (* 1/2 n) 1/2))))) (* -1/2 (pow (log x) 2)))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (+ (* n (log x)) (* x (+ (* -1 n) (* x (- (+ (* 1/2 n) (* x (+ 1/2 (* -1/3 n)))) 1/2))))) (* -1/2 (pow (log x) 2)))))
#s(approx (* n (log (/ x (+ 1 x)))) #s(hole binary64 (* n (log x))))
#s(approx (* n (log (/ x (+ 1 x)))) #s(hole binary64 (+ (* -1 (* n x)) (* n (log x)))))
#s(approx (* n (log (/ x (+ 1 x)))) #s(hole binary64 (+ (* n (log x)) (* x (+ (* -1 n) (* 1/2 (* n x)))))))
#s(approx (* n (log (/ x (+ 1 x)))) #s(hole binary64 (+ (* n (log x)) (* x (+ (* -1 n) (* x (+ (* -1/3 (* n x)) (* 1/2 n))))))))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (log x)))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (+ (log x) (* -1 x))))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (+ (log x) (* x (- (* 1/2 x) 1)))))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))))
#s(approx (/ x (+ 1 x)) #s(hole binary64 x))
#s(approx (/ x (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (* -1/2 (pow (log x) 2))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow x 2)))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* -1/2 x))))))
#s(approx (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* x (- (* 11/24 x) 1/2)))))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (* -1 (pow (log x) 2))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (- (pow x 2) (pow (log x) 2))))
#s(approx (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))))
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TimeVariablePointExpression
112.0ms
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89.0ms
n
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35.0ms
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33.0ms
n
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13.0ms
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rewrite184.0ms (0.9%)

Memory
16.0MiB live, 247.9MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160313625
0166412695
0824511701
Stop Event
iter-limit
node-limit
iter-limit
Counts
336 → 396
Calls
Call 1
Inputs
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#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (/ (- (* n (- (log x) (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))
#s(approx (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (/ x (+ 1 x))))) n)))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))
#s(approx (* n (log (/ x (+ 1 x)))) #s(hole binary64 (* n (log (/ x (+ 1 x))))))
#s(approx n #s(hole binary64 n))
#s(approx (/ (log (/ (+ 1 x) x)) n) #s(hole binary64 (/ (log (/ (+ 1 x) x)) n)))
#s(approx (+ (* -1 (/ (log x) n)) (/ x n)) #s(hole binary64 (/ (+ x (* -1 (log x))) n)))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (/ (+ 1 x) x)))) (pow n 2))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (/ (+ 1 x) x))))))
#s(approx (* n (log (/ (+ 1 x) x))) #s(hole binary64 (* n (log (/ (+ 1 x) x)))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#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 (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (log (+ 1 x))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n)))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (log (+ 1 x)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x)))))
#s(approx (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (log (/ x (+ 1 x)))))
#s(approx (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) #s(hole binary64 (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* n (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (/ (+ (log (/ (+ 1 x) x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (* n (+ (log (/ (+ 1 x) x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 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 (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (log x) (log (+ 1 x))) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (- (log x) (log (+ 1 x))))) n))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) #s(hole binary64 (* -1 (* n (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))))
#s(approx (+ (* -1 (/ (log x) n)) (/ x n)) #s(hole binary64 (* -1 (/ (+ (log x) (* -1 x)) n))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (* -1 (/ (+ (* -1 (log (/ (+ 1 x) x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (* -1 (* n (+ (* -1 (log (/ (+ 1 x) x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))))
Outputs
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(neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) n))
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(/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) n)
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(/.f64 (-.f64 (pow.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (fma.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)))) (*.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)))) (*.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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))))))))
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(*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
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n
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(-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x)))
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(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
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(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.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))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 x))))
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(-.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)))
(*.f64 (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))))
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(*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
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(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 x (log.f64 x)))
(log.f64 x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(pow.f64 (*.f64 n x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n x)))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (*.f64 (/.f64 x n) (/.f64 x n))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (/.f64 x n)))
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(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) (/.f64 x n))
#s(literal -1 binary64)
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
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#s(approx n n)
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#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.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))) n))) (log.f64 x)) n))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (-.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.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))) n))) (log.f64 (+.f64 #s(literal 1 binary64) x))) n))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.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))) n))) (log.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (/.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))) n))))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (*.f64 n (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (/.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))) n)))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.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))) n))) n))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 n (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.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))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (log.f64 x)))) n))) (neg.f64 (log.f64 x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.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))) n)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.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))) n))) n)))
#s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.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))) n))))))
#s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) x)) n)))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal -1/2 binary64) (/.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))) n))) n)))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal -1/2 binary64) (/.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))) n))))))

eval60.0ms (0.3%)

Memory
2.7MiB live, 102.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 10 395 to 3 404 computations (67.3% saved)

prune71.0ms (0.3%)

Memory
0.6MiB live, 47.1MiB allocated; 2ms collecting garbage
Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New38111392
Fresh42024
Picked325
Done022
Total38835423
Accuracy
99.7%
Counts
423 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.8%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
15.6%
(-.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)))
21.5%
(-.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)))
30.9%
(-.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)))
36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
60.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.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))))) n))
60.3%
#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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
60.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
36.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) x)) x))
27.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)) x))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
44.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
44.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
42.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
30.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) n))
46.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
31.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
37.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
38.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
60.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
41.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n)))))
33.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)))) (*.f64 n n))))
26.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
34.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
39.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
41.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n x))) n)))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (/.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 n n))))
29.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 n n))))
37.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
34.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
Compiler

Compiled 2 262 to 1 832 computations (19% saved)

series126.0ms (0.6%)

Memory
-7.3MiB live, 227.4MiB allocated; 20ms collecting garbage
Counts
42 → 230
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
(neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n))
(/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
(/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n)
#s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))
#s(literal -1 binary64)
(/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x)
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
(neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n))
(/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)
(+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n)))
(/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x))
(/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)
(+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(*.f64 n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n))
(*.f64 (log.f64 x) (log.f64 x))
(/.f64 (log.f64 x) n)
(*.f64 n x)
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 (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (/ (- (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* -1 (/ x n)) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* x (- (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) #s(hole binary64 (- (+ (* x (- (* x (- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))) (/ (log x) n)) (* -1/2 (/ (pow (log x) 2) (pow n 2))))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (log x) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* -1 x)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) #s(hole binary64 (- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) 1/3))) (* 1/2 (/ 1 n)))) 1))) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (log x)))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (+ (log x) (* -1 x))))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (+ (log x) (* x (- (* 1/2 x) 1)))))
#s(approx (log (/ x (+ 1 x))) #s(hole binary64 (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))))
#s(approx (/ x (+ 1 x)) #s(hole binary64 x))
#s(approx (/ x (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1 x)))))
#s(approx (/ x (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- x 1))))))
#s(approx (/ x (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 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 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) #s(hole binary64 (/ 1/3 (pow x 3))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (+ 1/3 (* -1/2 x)) (pow x 3))))
#s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) #s(hole binary64 (/ (+ 1/3 (* x (- x 1/2))) (pow x 3))))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ -1/3 (pow x 3))))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* 1/2 x) 1/3) (pow x 3))))
#s(approx (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) #s(hole binary64 (/ (- (* x (+ 1/2 (* -1 x))) 1/3) (pow x 3))))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (/ -1/3 (pow x 2))))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (/ (- (* 1/2 x) 1/3) (pow x 2))))
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(hole binary64 (/ (- (* x (+ 1/2 (* -1 x))) 1/3) (pow x 2))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (* 1/2 (/ (pow (log x) 2) n))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* -1 x) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) #s(hole binary64 (- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) 1/3))) (* 1/2 (/ 1 n)))) 1)) (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))))))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) #s(hole binary64 (+ (* -1 (/ (log x) n)) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* n x)))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))))))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(hole binary64 (+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))))))
#s(approx (/ (+ n (* -1 (neg (log x)))) x) #s(hole binary64 (/ (+ n (log x)) x)))
#s(approx (+ n (* -1 (neg (log x)))) #s(hole binary64 (+ n (log x))))
#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 (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
#s(approx (/ (* (log x) (log x)) (* n n)) #s(hole binary64 (/ (pow (log x) 2) (pow n 2))))
#s(approx (* (log x) (log x)) #s(hole binary64 (pow (log x) 2)))
#s(approx (/ (log x) n) #s(hole binary64 (/ (log x) n)))
#s(approx (* n x) #s(hole binary64 (* n x)))
#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 (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 n)) x)))
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Calls

6 calls:

TimeVariablePointExpression
30.0ms
n
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26.0ms
n
@-inf
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18.0ms
n
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18.0ms
x
@-inf
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17.0ms
x
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rewrite215.0ms (1%)

Memory
15.1MiB live, 199.9MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129011409
013309917
084799124
Stop Event
iter-limit
node-limit
iter-limit
Counts
272 → 340
Calls
Call 1
Inputs
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#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 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) #s(hole binary64 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 n)))
(/.f64 (neg.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
(/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 n))
(neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n))
(/.f64 (neg.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (neg.f64 n))
(/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
#s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x)
#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 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
(/.f64 (neg.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x)))) (neg.f64 n))
(/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n)
#s(approx (log (/ (+ 1 x) x)) (neg.f64 (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64))) x)
(neg.f64 (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))
#s(literal -1 binary64)
(/.f64 (neg.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x)
#s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n)))
(/.f64 (neg.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x))) n)
(/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))
(neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n))
(/.f64 (neg.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x))) (neg.f64 n))
(/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)
(+.f64 (/.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (*.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x)))) (*.f64 (log.f64 x) (log.f64 x))) (-.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)))))
(+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x))
#s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x)))
(*.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))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(log.f64 x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x)) (*.f64 n n)))
(/.f64 (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x)) n) n)
(/.f64 (neg.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x))) (neg.f64 (*.f64 n n)))
(/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x)) (*.f64 n n))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x))
(/.f64 (neg.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x))))) (neg.f64 x))
(/.f64 (+.f64 n (neg.f64 (neg.f64 (log.f64 x)))) x)
(+.f64 (/.f64 n x) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) x))
(/.f64 (-.f64 (*.f64 n n) (*.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))))) (-.f64 n (neg.f64 (neg.f64 (log.f64 x)))))
(/.f64 (fma.f64 (*.f64 n n) n (pow.f64 (neg.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 (neg.f64 (log.f64 x)))))))
(-.f64 n (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(+.f64 n (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal 1 binary64)) (pow.f64 n #s(literal 1 binary64)))
(*.f64 (fabs.f64 n) (fabs.f64 n))
(*.f64 (neg.f64 n) (neg.f64 n))
(*.f64 n n)
(pow.f64 n #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
(/.f64 (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)))) n) x)
(/.f64 (neg.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))) (neg.f64 (*.f64 n x)))
(/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)))) (*.f64 n x))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)))) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))
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#s(literal 1/2 binary64)
(*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 (log.f64 x) (/.f64 (log.f64 x) (*.f64 n n)))
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(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
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(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
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#s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)))
#s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal -1/2 binary64))) n)))
#s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1/2 binary64))) n)))
#s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (neg.f64 n) (-.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (/.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) #s(literal 1/2 binary64)))))
#s(approx (/ (+ n (* -1 (neg (log x)))) x) (*.f64 (neg.f64 n) (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ n (* -1 (neg (log x)))) (*.f64 (neg.f64 n) (-.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64))))
#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 (*.f64 (log.f64 x) (log.f64 x)) x) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n x))) n)) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64))) n))))
#s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 x)) (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))) n))))
#s(approx (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n)) (neg.f64 (/.f64 (-.f64 (neg.f64 (log.f64 x)) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal 1/2 binary64))) n)))

eval62.0ms (0.3%)

Memory
13.2MiB live, 58.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 828 to 2 264 computations (71.1% saved)

prune94.0ms (0.5%)

Memory
-4.0MiB live, 57.8MiB allocated; 5ms collecting garbage
Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New30114315
Fresh81826
Picked325
Done134
Total31337350
Accuracy
99.7%
Counts
350 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.8%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
15.6%
(-.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)))
21.5%
(-.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)))
30.9%
(-.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)))
36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
60.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.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))))) n))
60.3%
#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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
60.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
36.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) x)) x))
27.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)) x))
27.8%
#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))
39.9%
#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))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
44.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
44.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
45.1%
#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))
30.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (neg.f64 (log.f64 x))) n))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) n))
40.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
33.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64)))) (*.f64 n x)))
31.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (log.f64 x)) n)))
37.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
38.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)))) n)))
60.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
41.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (*.f64 n n)))))
33.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)))) (*.f64 n n))))
26.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
39.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
41.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (/.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 n n))))
37.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
44.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n n))))
27.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n n))))
41.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Compiler

Compiled 2 377 to 1 422 computations (40.2% saved)

regimes86.0ms (0.4%)

Memory
-12.4MiB live, 80.3MiB allocated; 5ms collecting garbage
Counts
60 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ 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 (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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) 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 (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64)))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #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))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 n n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
(-.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))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (*.f64 n 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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) 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))) (/.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) (*.f64 x x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.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))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (/.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 n n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)))) (*.f64 n 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)))
Calls

4 calls:

17.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
14.0ms
(/.f64 #s(literal 1 binary64) n)
14.0ms
n
14.0ms
x
Results
AccuracySegmentsBranch
87.7%4(/.f64 #s(literal 1 binary64) n)
83.0%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)))
84.3%3x
87.7%5n
Compiler

Compiled 16 to 16 computations (0% saved)

regimes33.0ms (0.2%)

Memory
-18.3MiB live, 28.1MiB allocated; 3ms collecting garbage
Counts
57 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ 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 (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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) 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 (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64)))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #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))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 n n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
(-.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))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (*.f64 n 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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) 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))) (/.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) (*.f64 x x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) x)) x))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) 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 (/.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)))
Calls

1 calls:

29.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes16.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Counts
53 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ 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 (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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) 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 (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64)))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #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))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 n n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
(-.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))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.f64 (*.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) (*.f64 n 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))) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (/.f64 (fma.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))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 (-.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.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)) 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)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.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)))
Calls

1 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.6%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes14.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
46 → 5
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ 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 (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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) 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 (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64)))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #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))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 n n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) (/.f64 (log.f64 x) n)))) (*.f64 n x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.4%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes41.0ms (0.2%)

Memory
-37.1MiB live, 13.6MiB allocated; 5ms collecting garbage
Counts
44 → 5
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ 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 (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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) 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 (exp (neg (/ (neg (log x)) n))) #s(approx (+ 1 (+ (* 1/2 (/ (* (log x) (log x)) (* n n))) (/ (log x) n))) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 n n)) #s(literal 1/2 binary64)))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (-.f64 (log.f64 x) (*.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) n) #s(literal -1/2 binary64)))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #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))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/.f64 #s(approx (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (-.f64 (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 x) (log.f64 x))))) (*.f64 n n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.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))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

1 calls:

38.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.0%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes20.0ms (0.1%)

Memory
29.2MiB live, 29.2MiB allocated; 0ms collecting garbage
Counts
37 → 5
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ 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 (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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 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 (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (/.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 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 #s(approx (neg (/ (neg (log x)) n)) (/.f64 (log.f64 x) n))) (*.f64 n x)))
(-.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))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

2 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
n
Results
AccuracySegmentsBranch
87.6%6n
87.6%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes36.0ms (0.2%)

Memory
17.5MiB live, 61.6MiB allocated; 5ms collecting garbage
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
(-.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 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* 1/3 (/ 1 x)) 1/2) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) #s(approx (+ (* -1 (/ (log x) n)) (/ x n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))
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))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 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)))
Calls

4 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
x
8.0ms
n
6.0ms
(-.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
79.2%6n
79.6%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)))
74.4%4x
79.6%6(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 16 to 16 computations (0% saved)

regimes17.0ms (0.1%)

Memory
-29.0MiB live, 14.7MiB allocated; 6ms collecting garbage
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n 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 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 n 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) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) #s(literal 1 binary64)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) #s(approx (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (/.f64 (+.f64 n (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 n n) x)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (*.f64 n n))))
Calls

1 calls:

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
76.0%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)

regimes6.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (/.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (/.f64 #s(approx (+ n (* -1 (neg (log x)))) (+.f64 n (log.f64 x))) x)) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (neg (/ (neg (log x)) n))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (+.f64 #s(approx (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg.f64 (log.f64 x))) (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))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n 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
75.8%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 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 x (neg.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))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 (log.f64 x) x))) (*.f64 n 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) (/.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))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) 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) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
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
75.7%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)

regimes14.0ms (0.1%)

Memory
-22.8MiB live, 23.4MiB allocated; 4ms collecting garbage
Counts
8 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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 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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (+.f64 x (neg.f64 (log.f64 x)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

4 calls:

6.0ms
n
3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
x
2.0ms
(-.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
65.1%5x
64.2%5n
64.1%4(/.f64 #s(literal 1 binary64) n)
46.6%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 16 to 16 computations (0% saved)

regimes3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) #s(approx (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) 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))
#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))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

1 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
64.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes7.0ms (0%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #s(literal -1 binary64)) x))) n))
#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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

3 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
52.4%3n
57.8%3x
52.4%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes16.0ms (0.1%)

Memory
-30.0MiB live, 25.1MiB allocated; 6ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (log (/ (+ 1 x) x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) #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 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/.f64 #s(approx (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) #s(approx (/ (+ n (* -1 (neg (log x)))) x) (/.f64 n x))) (*.f64 n n))))
Calls

4 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
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
41.6%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)))
43.4%2(/.f64 #s(literal 1 binary64) n)
43.5%2n
41.6%1x
Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 #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))
Outputs
#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

4 calls:

1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
n
1.0ms
x
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
39.9%1x
39.9%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)))
39.9%1(/.f64 #s(literal 1 binary64) n)
39.9%1n
Compiler

Compiled 16 to 16 computations (0% saved)

regimes8.0ms (0%)

Memory
-25.0MiB live, 22.2MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

5.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) n)
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
39.0%1(/.f64 #s(literal 1 binary64) n)
39.0%1x
39.0%1n
39.0%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)

bsearch1.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004986432560112442
35197.63347256986
0.0ms
2.8232650649276555e-50
1.0058954902553243e-46
0.0ms
-2.6795058175090322e-167
-7.21883915101337e-170
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004986432560112442
35197.63347256986
0.0ms
2.8232650649276555e-50
1.0058954902553243e-46
0.0ms
-2.6795058175090322e-167
-7.21883915101337e-170
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004986432560112442
35197.63347256986
0.0ms
2.8232650649276555e-50
1.0058954902553243e-46
0.0ms
-2.6795058175090322e-167
-7.21883915101337e-170
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.321372501842445e+155
8.793661517358924e+185
0.0ms
0.004986432560112442
35197.63347256986
0.0ms
2.8232650649276555e-50
1.0058954902553243e-46
0.0ms
-2.6795058175090322e-167
-7.21883915101337e-170
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.240304007326403e+186
6.092707305033148e+195
0.0ms
0.004986432560112442
35197.63347256986
0.0ms
2.8232650649276555e-50
1.0058954902553243e-46
0.0ms
-2.6795058175090322e-167
-7.21883915101337e-170
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.321372501842445e+155
8.793661517358924e+185
0.0ms
0.004986432560112442
35197.63347256986
0.0ms
2.8232650649276555e-50
1.0058954902553243e-46
0.0ms
-2.6795058175090322e-167
-7.21883915101337e-170
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-2.5088114315738715e+65
-1.29476429577835e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-2.5088114315738715e+65
-1.29476429577835e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-2.5088114315738715e+65
-1.29476429577835e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-2.5088114315738715e+65
-1.29476429577835e-11
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.553996301786034e-73
2.2287019042957784e-73
0.0ms
-5.731872803755616e-193
-2.1191134597391074e-193
0.0ms
-2.0682638505566033
-3.541151684425475e-9
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.553996301786034e-73
2.2287019042957784e-73
0.0ms
-5.731872803755616e-193
-2.1191134597391074e-193
0.0ms
-2.0682638505566033
-3.541151684425475e-9
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch158.0ms (0.8%)

Memory
-22.7MiB live, 116.2MiB allocated; 32ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
8.103286479765255e+166
3.722285873279152e+168
87.0ms
0.052544938748973535
25.08673336174779
Samples
66.0ms78×0valid
59.0ms106×2valid
9.0ms56×1valid
1.0ms15×0exit
Compiler

Compiled 813 to 684 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 55.0ms (81.7% of total)
adjust: 6.0ms (8.9% of total)
ival-div!: 3.0ms (4.5% of total)
ival-add!: 1.0ms (1.5% of total)
ival-sub!: 1.0ms (1.5% of total)

bsearch101.0ms (0.5%)

Memory
15.3MiB live, 201.1MiB allocated; 31ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
98.0ms
-9.83553170650573e+155
-2.9586999125374747e+144
Samples
47.0ms60×2valid
40.0ms100×1valid
Compiler

Compiled 766 to 583 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-pow: 72.0ms (87.2% of total)
adjust: 6.0ms (7.3% of total)
ival-div!: 2.0ms (2.4% of total)
ival-add!: 1.0ms (1.2% of total)
ival-sub!: 1.0ms (1.2% of total)

derivations1.1s (5%)

Memory
-217.7MiB live, 508.1MiB allocated; 1.2s collecting garbage
Stop Event
fuel
Compiler

Compiled 407 to 212 computations (47.9% saved)

preprocess170.0ms (0.8%)

Memory
-24.6MiB live, 397.1MiB allocated; 79ms collecting garbage
Compiler

Compiled 418 to 220 computations (47.4% saved)

end0.0ms (0%)

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

Profiling

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