2nthrt (problem 3.4.6)

Time bar (total: 19.1s)

start0.0ms (0%)

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

analyze464.0ms (2.4%)

Memory
31.2MiB live, 251.8MiB allocated; 648ms 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)

sample15.5s (81.1%)

Memory
220.9MiB live, 13 274.5MiB allocated; 4.2s collecting garbage
Samples
11.1s6 115×5exit
1.6s2 992×2valid
1.1s2 798×1valid
269.0ms2 466×0valid
156.0ms1 068×1exit
144.0ms1 623×0exit
120.0ms139×4exit
10.0ms3exit
Precisions
Click to see histograms. Total time spent on operations: 13.4s
ival-pow: 11.1s (83.1% of total)
adjust: 1.4s (10.5% of total)
ival-div!: 475.0ms (3.6% of total)
ival-add!: 205.0ms (1.5% of total)
ival-sub!: 162.0ms (1.2% of total)
exact: 0.0ms (0% of total)
Bogosity

preprocess78.0ms (0.4%)

Memory
-41.8MiB live, 50.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02586
16380
212480
333780
4208880
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(-.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)

series70.0ms (0.4%)

Memory
2.8MiB live, 97.7MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021994
Stop Event
iter-limit
Counts
8 → 49
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))) (-.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 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))) (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 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#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 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) x))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.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 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal 11/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))))) x) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) x) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) x) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) x) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n)) x))))
#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 (-.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 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n)))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 x) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (/.f64 (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))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) 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 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) 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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) 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)))
20.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
8.0ms
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)))

rewrite45.0ms (0.2%)

Memory
13.0MiB live, 59.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
17334
061130
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
8 → 89
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
(*.f64 (*.f64 (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (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 (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (pow.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))))
(neg.f64 (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (fabs.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (log.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(fabs.f64 (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))) n))
(+.f64 (cosh.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)) (sinh.f64 (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.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) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) 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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(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) (pow.f64 n #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) n)
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 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 1/2 binary64)))) (fabs.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 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 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(fabs.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))

eval14.0ms (0.1%)

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

Compiled 1 937 to 596 computations (69.2% saved)

prune12.0ms (0.1%)

Memory
-25.8MiB live, 20.7MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12012132
Fresh000
Picked101
Done000
Total12112133
Accuracy
99.3%
Counts
133 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
36.4%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))))
29.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
80.4%
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
68.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
64.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
41.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
38.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))) x))
58.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
Compiler

Compiled 608 to 522 computations (14.1% saved)

series250.0ms (1.3%)

Memory
1.6MiB live, 325.3MiB allocated; 84ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147210950
Stop Event
iter-limit
Counts
43 → 245
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #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)
#s(literal 1 binary64)
n
(neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))))
(expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))
(-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)
(log.f64 (-.f64 x #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n)
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 x n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)
(-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) n) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n)))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) n)))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) n)))) (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 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (exp.f64 (/.f64 (log.f64 x) n))) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))))) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (expm1.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (-.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (exp.f64 (/.f64 (log.f64 x) n))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (-.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 x (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))))))) #s(literal 1 binary64)))
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#s(approx n n)
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#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) n))) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) 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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n))))
#s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)))
#s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (log.f64 x)))
Calls

6 calls:

TimeVariablePointExpression
80.0ms
n
@inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) (- x -1) x -1 (/ 1 n) 1 n (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) (/ (log (- x -1)) n) (log (- x -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) 1/2 (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* 1/2 (/ (pow (log x) 2) n)) (/ (pow (log x) 2) n) (pow (log x) 2))
32.0ms
n
@0
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) (- x -1) x -1 (/ 1 n) 1 n (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) (/ (log (- x -1)) n) (log (- x -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) 1/2 (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* 1/2 (/ (pow (log x) 2) n)) (/ (pow (log x) 2) n) (pow (log x) 2))
30.0ms
n
@-inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) (- x -1) x -1 (/ 1 n) 1 n (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) (/ (log (- x -1)) n) (log (- x -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) 1/2 (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* 1/2 (/ (pow (log x) 2) n)) (/ (pow (log x) 2) n) (pow (log x) 2))
28.0ms
x
@inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) (- x -1) x -1 (/ 1 n) 1 n (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) (/ (log (- x -1)) n) (log (- x -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) 1/2 (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* 1/2 (/ (pow (log x) 2) n)) (/ (pow (log x) 2) n) (pow (log x) 2))
23.0ms
x
@-inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) (- x -1) x -1 (/ 1 n) 1 n (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) (/ (log (- x -1)) n) (log (- x -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ 1 (/ x n)) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ 1 (/ (log x) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)) 1/2 (/ (pow (log (+ 1 x)) 2) n) (pow (log (+ 1 x)) 2) 2 (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* 1/2 (/ (pow (log x) 2) n)) (/ (pow (log x) 2) n) (pow (log x) 2))

rewrite174.0ms (0.9%)

Memory
32.6MiB live, 129.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048398
084381
1446375
04709317
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
43 → 959
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #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)
#s(literal 1 binary64)
n
(neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))))
(expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))
(-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)
(log.f64 (-.f64 x #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n))
(/.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x)) n)
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (log.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 x n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)
(-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n)
(pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
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(fma.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) (log.f64 x))
(-.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (log.f64 x) (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 x) (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) (log.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))))
(+.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 x) (*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))
(log.f64 (pow.f64 x (fma.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 (*.f64 (log.f64 x) (log.f64 x))) #s(literal 1/2 binary64)) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x))) (neg.f64 n))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x)) n)
(/.f64 #s(literal 1/2 binary64) (/.f64 n (*.f64 (log.f64 x) (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x))))
(*.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (neg.f64 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (*.f64 (log.f64 x) (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 x) (/.f64 (log.f64 x) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 x) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 n (*.f64 (log.f64 x) (log.f64 x)))))
(pow.f64 (/.f64 n (*.f64 (log.f64 x) (log.f64 x))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (log.f64 x) (log.f64 x))) (neg.f64 n))
(/.f64 (*.f64 (log.f64 x) (log.f64 x)) n)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 n (*.f64 (log.f64 x) (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (*.f64 (log.f64 x) (log.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 (log.f64 x) (log.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (*.f64 (log.f64 x) (log.f64 x)))))
(neg.f64 (/.f64 (*.f64 (log.f64 x) (log.f64 x)) (neg.f64 n)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 n (*.f64 (log.f64 x) (log.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (log.f64 x) (log.f64 x))) n))
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (log.f64 x))) (exp.f64 (log.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 x) (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(fabs.f64 (*.f64 (log.f64 x) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 x (log.f64 x)))

eval181.0ms (0.9%)

Memory
-22.7MiB live, 203.8MiB allocated; 50ms collecting garbage
Compiler

Compiled 20 383 to 5 979 computations (70.7% saved)

prune50.0ms (0.3%)

Memory
11.8MiB live, 58.7MiB allocated; 3ms collecting garbage
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New1 147251 172
Fresh347
Picked505
Done000
Total1 155291 184
Accuracy
99.4%
Counts
1 184 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
74.4%
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
68.8%
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64)))))))
59.4%
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))) (log.f64 x)) n)))))
57.5%
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
80.1%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
35.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
64.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 x) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) n)))
55.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))))
55.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n)))
43.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
64.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
63.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
64.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
58.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 x (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
31.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) n))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
64.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
64.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
42.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
25.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
31.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
37.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
Compiler

Compiled 1 336 to 1 190 computations (10.9% saved)

series283.0ms (1.5%)

Memory
7.9MiB live, 344.4MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014769735
Stop Event
iter-limit
Counts
36 → 240
Calls
Call 1
Inputs
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))))
(expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))
(-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n)))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
(-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n))
(*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)
(*.f64 (log.f64 x) n)
(*.f64 n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) n)
Outputs
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 n #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) n)))) (exp.f64 (/.f64 (log.f64 x) n))))
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#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (*.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 1/6 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) n)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (*.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 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)) n)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) n))) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) n)))
#s(approx (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) 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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))
#s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1 binary64) (log.f64 x))))))
Calls

6 calls:

TimeVariablePointExpression
106.0ms
n
@0
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) 1 (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) x n (/ (log (- x -1)) n) (log (- x -1)) (- x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (log (/ (- x -1) x)))) (/ n (log (/ (- x -1) x))) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (* (log (- x -1)) n) (* (log x) n)) (* n n)) (- (* (log (- x -1)) n) (* (log x) n)) (* (log (- x -1)) n) (* (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (log (* (- x -1) x))) (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (log (* (- x -1) x)) (* (- x -1) x) (/ 1 n))
49.0ms
n
@inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) 1 (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) x n (/ (log (- x -1)) n) (log (- x -1)) (- x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (log (/ (- x -1) x)))) (/ n (log (/ (- x -1) x))) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (* (log (- x -1)) n) (* (log x) n)) (* n n)) (- (* (log (- x -1)) n) (* (log x) n)) (* (log (- x -1)) n) (* (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (log (* (- x -1) x))) (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (log (* (- x -1) x)) (* (- x -1) x) (/ 1 n))
43.0ms
n
@-inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) 1 (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) x n (/ (log (- x -1)) n) (log (- x -1)) (- x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (log (/ (- x -1) x)))) (/ n (log (/ (- x -1) x))) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (* (log (- x -1)) n) (* (log x) n)) (* n n)) (- (* (log (- x -1)) n) (* (log x) n)) (* (log (- x -1)) n) (* (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (log (* (- x -1) x))) (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (log (* (- x -1) x)) (* (- x -1) x) (/ 1 n))
12.0ms
x
@inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) 1 (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) x n (/ (log (- x -1)) n) (log (- x -1)) (- x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (log (/ (- x -1) x)))) (/ n (log (/ (- x -1) x))) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (* (log (- x -1)) n) (* (log x) n)) (* n n)) (- (* (log (- x -1)) n) (* (log x) n)) (* (log (- x -1)) n) (* (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (log (* (- x -1) x))) (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (log (* (- x -1) x)) (* (- x -1) x) (/ 1 n))
11.0ms
x
@-inf
((* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (pow (- x -1) (/ 1 n)) 1 (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1) (- (/ (log x) n) (/ (log (- x -1)) n)) (/ (log x) n) (log x) x n (/ (log (- x -1)) n) (log (- x -1)) (- x -1) -1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (/ n (log (/ (- x -1) x)))) (/ n (log (/ (- x -1) x))) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (* (log (- x -1)) n) (* (log x) n)) (* n n)) (- (* (log (- x -1)) n) (* (log x) n)) (* (log (- x -1)) n) (* (log x) n) (* n n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (log (* (- x -1) x))) (* (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (/ 1 n)) (* (log (* (- x -1) x)) (log (/ (- x -1) x))) (log (* (- x -1) x)) (* (- x -1) x) (/ 1 n))

rewrite118.0ms (0.6%)

Memory
5.1MiB live, 96.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047372
075306
1346298
03262246
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
36 → 959
Calls
Call 1
Inputs
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))))
(expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))
(-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n)))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
(-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n))
(*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)
(*.f64 (log.f64 x) n)
(*.f64 n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) n)
Outputs
(*.f64 (neg.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))) (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
(neg.f64 (*.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))) (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64)))) (-.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) #s(literal -1 binary64)))
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(fma.f64 (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 (log.f64 x) (log.f64 x))))
(fma.f64 (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (log.f64 (fma.f64 x x x)) (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 (fma.f64 x x x)) (neg.f64 (log.f64 x))))
(fma.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 x)))
(fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (fma.f64 x x x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 x x x))))
(fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (log.f64 x) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (log.f64 x) (log.f64 x))))
(fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 x) (log.f64 x)))
(+.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (fma.f64 x x x)) (neg.f64 (log.f64 x))))
(+.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 x)))
(+.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (fma.f64 x x x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 (fma.f64 x x x))))
(+.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 x) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(+.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (*.f64 (log.f64 x) (log.f64 x))))
(+.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (pow.f64 (fma.f64 x x x) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(log.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (log.f64 (fma.f64 x x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) (log.f64 (-.f64 x #s(literal -1 binary64))))) (log.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(-.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (-.f64 x #s(literal -1 binary64))))
(log.f64 (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 x x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 x x x)
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) n)
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))

eval128.0ms (0.7%)

Memory
4.6MiB live, 189.3MiB allocated; 27ms collecting garbage
Compiler

Compiled 15 799 to 5 540 computations (64.9% saved)

prune47.0ms (0.2%)

Memory
6.5MiB live, 61.1MiB allocated; 7ms collecting garbage
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New1 044201 064
Fresh111324
Picked415
Done000
Total1 059341 093
Accuracy
99.4%
Counts
1 093 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.5%
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
74.4%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
49.1%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
49.5%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
43.0%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
64.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
55.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))))
28.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (fma.f64 x x x)) n)))
64.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
63.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
64.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
58.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 x (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
45.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
42.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
42.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
43.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
47.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (- x -1) 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))))))
64.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
64.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
35.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
33.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
43.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (log.f64 (fma.f64 x x x)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (log.f64 (fma.f64 x x x)))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (log.f64 (fma.f64 x x x)) (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))))
51.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (log.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))
42.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
25.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
Compiler

Compiled 1 492 to 1 379 computations (7.6% saved)

series413.0ms (2.2%)

Memory
-7.2MiB live, 548.9MiB allocated; 131ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209616283
Stop Event
iter-limit
Counts
37 → 280
Calls
Call 1
Inputs
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
(expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
(/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
n
(neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))
(/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)
(log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.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))) (/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n)
(neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))))
(*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
(/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
(/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)
(log.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))))))
#s(approx (* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n))))) (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))))))
#s(approx (* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n))) n) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (pow.f64 n #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))))))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n)))))))))
#s(approx (* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (pow.f64 n #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))) n) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) n) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))))))))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n))) n) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) (fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (pow.f64 n #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))))))))))))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n)))) (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)))) (*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))))))
#s(approx (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n)))) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 n #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n))))))))
#s(approx (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n)))) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n))) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) n) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) n))))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))))) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 n #s(literal 2 binary64))))))))))))
#s(approx (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))))
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#s(approx (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))))
#s(approx (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))) n)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))))
#s(approx (- (exp (/ (log (/ (- x -1) x)) n)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))
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Calls

6 calls:

TimeVariablePointExpression
109.0ms
n
@0
((* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (pow (- x -1) (/ 1 n)) 1 (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n)))) (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (- (exp (/ (log (/ (- x -1) x)) n)) 1) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- x -1) x -1 n (neg (exp (/ (log (/ x (- x -1))) n))) (exp (/ (log (/ x (- x -1))) n)) (/ (log (/ x (- x -1))) n) (log (/ x (- x -1))) (/ x (- x -1)) (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (neg (log (/ x (- x -1)))) n) (neg (log (/ x (- x -1)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (* n (/ n (* (log (/ (- x -1) x)) n)))) (* n (/ n (* (log (/ (- x -1) x)) n))) (/ n (* (log (/ (- x -1) x)) n)) (* (log (/ (- x -1) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (log (/ 1 x)) n)) (/ (log (/ 1 x)) n) (log (/ 1 x)) (/ 1 x))
89.0ms
n
@-inf
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49.0ms
n
@inf
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23.0ms
x
@-inf
((* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (pow (- x -1) (/ 1 n)) 1 (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n)))) (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (- (exp (/ (log (/ (- x -1) x)) n)) 1) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- x -1) x -1 n (neg (exp (/ (log (/ x (- x -1))) n))) (exp (/ (log (/ x (- x -1))) n)) (/ (log (/ x (- x -1))) n) (log (/ x (- x -1))) (/ x (- x -1)) (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (neg (log (/ x (- x -1)))) n) (neg (log (/ x (- x -1)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (* n (/ n (* (log (/ (- x -1) x)) n)))) (* n (/ n (* (log (/ (- x -1) x)) n))) (/ n (* (log (/ (- x -1) x)) n)) (* (log (/ (- x -1) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (log (/ 1 x)) n)) (/ (log (/ 1 x)) n) (log (/ 1 x)) (/ 1 x))
21.0ms
x
@inf
((* (pow (- x -1) (/ 1 n)) (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n))))) (pow (- x -1) (/ 1 n)) 1 (* (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (neg (exp (/ (log (/ x (- x -1))) n)))) (neg (- (exp (/ (log (/ (- x -1) x)) n)) 1)) (- (exp (/ (log (/ (- x -1) x)) n)) 1) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- x -1) x -1 n (neg (exp (/ (log (/ x (- x -1))) n))) (exp (/ (log (/ x (- x -1))) n)) (/ (log (/ x (- x -1))) n) (log (/ x (- x -1))) (/ x (- x -1)) (* (pow (- x -1) (/ 1 n)) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1))) (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/ 1 (* n x)) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (neg (log (/ x (- x -1)))) n) (neg (log (/ x (- x -1)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ 1 (* n (/ n (* (log (/ (- x -1) x)) n)))) (* n (/ n (* (log (/ (- x -1) x)) n))) (/ n (* (log (/ (- x -1) x)) n)) (* (log (/ (- x -1) x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (exp (* -1 (/ (log (/ 1 x)) n))) (* -1 (/ (log (/ 1 x)) n)) (/ (log (/ 1 x)) n) (log (/ 1 x)) (/ 1 x))

rewrite131.0ms (0.7%)

Memory
12.2MiB live, 194.2MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052385
082364
1342332
02806284
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
37 → 653
Calls
Call 1
Inputs
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
(neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
(expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
(/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)
(log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
n
(neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))
(exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))
(/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)
(log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.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))) (/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n)
(neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))))
(*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
(/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
(*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
(/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))
(exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n)
(log.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))))
(*.f64 (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (*.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
(neg.f64 (*.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))))
(neg.f64 (*.f64 (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))))
(neg.f64 (*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
#s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)) (neg.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) (sinh.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64)))))
(/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) (sinh.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))))))
(/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)))))
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(+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))) (cosh.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (fabs.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 x)) n))
(pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))) (-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(sqrt.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (neg.f64 (sinh.f64 (/.f64 (log.f64 x) n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(fabs.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fabs.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (/.f64 (neg.f64 (log.f64 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
(*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) n)))
(*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))
(pow.f64 (/.f64 n (log.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) (neg.f64 (neg.f64 n)))
(/.f64 (log.f64 x) n)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 n) (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 n) (log.f64 x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))
(*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 n) (log.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (log.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 n) (log.f64 x))))
(neg.f64 (/.f64 (log.f64 x) n))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (log.f64 x) n))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 #s(literal 0 binary64) (log.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 #s(literal 0 binary64) (log.f64 x)))))
(neg.f64 (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))

eval270.0ms (1.4%)

Memory
-7.5MiB live, 317.2MiB allocated; 171ms collecting garbage
Compiler

Compiled 18 072 to 6 255 computations (65.4% saved)

prune55.0ms (0.3%)

Memory
-32.7MiB live, 160.2MiB allocated; 16ms collecting garbage
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 013141 027
Fresh91928
Picked325
Done011
Total1 025361 061
Accuracy
99.4%
Counts
1 061 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.0%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
33.6%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
63.7%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 #s(approx (exp (/ (log (/ x (- x -1))) n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))))))
68.8%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (neg (exp (/ (log (/ x (- x -1))) n))) #s(literal -1 binary64))))
49.5%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
43.2%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
43.0%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
43.0%
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
58.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
64.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (fma.f64 x x x)) n)))
64.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
47.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))) n))
33.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
63.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
64.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
58.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 x (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
45.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
42.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
42.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
59.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
33.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
47.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
33.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
35.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
33.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
43.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (log.f64 (fma.f64 x x x)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (log.f64 (fma.f64 x x x)))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (log.f64 (fma.f64 x x x)) (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))))
25.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
Compiler

Compiled 1 682 to 1 160 computations (31% saved)

regimes85.0ms (0.4%)

Memory
14.0MiB live, 200.7MiB allocated; 17ms collecting garbage
Counts
72 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (neg (exp (/ (log (/ x (- x -1))) n))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (- x -1) 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))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (log.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 x (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (fma.f64 x x x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (log.f64 (fma.f64 x x x)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (log.f64 (fma.f64 x x x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) 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 (log.f64 (fma.f64 x x x)) (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 #s(approx (exp (/ (log (/ x (- x -1))) n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) n))) (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (log.f64 x) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x)) x))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))) (log.f64 x)) n)))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (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) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (expm1.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)) #s(literal -1 binary64)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n) #s(literal 2 binary64)))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.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 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) n) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)))) x) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))) x))
Outputs
#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 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

25.0ms
(/.f64 #s(literal 1 binary64) n)
21.0ms
x
19.0ms
n
15.0ms
(-.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
96.9%3(/.f64 #s(literal 1 binary64) n)
84.4%2(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
93.5%2x
96.9%4n
Compiler

Compiled 16 to 16 computations (0% saved)

regimes21.0ms (0.1%)

Memory
6.4MiB live, 52.2MiB allocated; 3ms collecting garbage
Counts
62 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (neg (exp (/ (log (/ x (- x -1))) n))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (- x -1) 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))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (log.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) (-.f64 x (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (fma.f64 x x x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (log.f64 (fma.f64 x x x)) (/.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (log.f64 (fma.f64 x x x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) 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 (log.f64 (fma.f64 x x x)) (*.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 #s(approx (exp (/ (log (/ x (- x -1))) n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) n)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) n)))))
Outputs
#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 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (neg.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))) #s(approx (neg (exp (/ (log (/ x (- x -1))) n))) #s(literal -1 binary64))))
Calls

1 calls:

18.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
97.6%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes19.0ms (0.1%)

Memory
-3.7MiB live, 45.3MiB allocated; 10ms collecting garbage
Counts
42 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)))) n))
Outputs
#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 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (-.f64 (/.f64 x n) #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
Calls

1 calls:

17.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
97.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes21.0ms (0.1%)

Memory
4.0MiB live, 43.3MiB allocated; 13ms collecting garbage
Counts
39 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
Outputs
#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 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x)))))
Calls

1 calls:

19.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
97.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes25.0ms (0.1%)

Memory
13.8MiB live, 52.0MiB allocated; 18ms collecting garbage
Counts
38 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (log.f64 x) (neg.f64 n))))
Outputs
#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 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) n) #s(approx (/ (log (- x -1)) n) (/.f64 x n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

23.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
97.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes19.0ms (0.1%)

Memory
3.7MiB live, 48.7MiB allocated; 10ms collecting garbage
Counts
36 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
Outputs
#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 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

18.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
97.1%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes11.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Counts
35 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
97.1%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes54.0ms (0.3%)

Memory
-46.6MiB live, 66.7MiB allocated; 49ms collecting garbage
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

3 calls:

32.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
x
9.0ms
n
Results
AccuracySegmentsBranch
85.5%3x
90.0%4n
90.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes26.0ms (0.1%)

Memory
-2.6MiB live, 43.7MiB allocated; 3ms collecting garbage
Counts
33 → 6
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.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 (-.f64 #s(approx (* (log (- x -1)) n) (*.f64 n x)) (*.f64 (log.f64 x) n)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 #s(approx (log (/ (- x -1) x)) (*.f64 #s(literal -1 binary64) (log.f64 x))) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) 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)) (log x)) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n))) (*.f64 n x))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (expm1.f64 #s(approx (- (/ (log x) n) (/ (log (- x -1)) n)) (/.f64 (log.f64 x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

3 calls:

9.0ms
n
9.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
(-.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
80.2%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
90.4%6(/.f64 #s(literal 1 binary64) n)
89.3%6n
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes19.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
Calls

3 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
6.0ms
x
Results
AccuracySegmentsBranch
82.4%4n
69.6%2x
83.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes14.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n #s(approx (/ n (* (log (/ (- x -1) x)) n)) (/.f64 #s(literal -1 binary64) (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (neg.f64 (log.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
Calls

3 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
n
3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
74.7%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)))
71.8%3n
72.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes3.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (- x -1) x))) (*.f64 x (+.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 n x)))))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.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
74.7%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)

regimes26.0ms (0.1%)

Memory
-19.6MiB live, 26.8MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) n)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 n #s(approx (* (log (/ (- x -1) x)) n) (/.f64 n x))))))
Calls

4 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
6.0ms
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
67.8%2x
51.1%2n
55.6%5(/.f64 #s(literal 1 binary64) n)
47.9%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)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
65.3%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (log (/ x (- x -1))) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
65.2%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.1%)

Memory
-32.6MiB live, 17.9MiB allocated; 6ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (- x -1)) n) (* (log x) n)) (/.f64 n x)) (*.f64 n n)))
Calls

4 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
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
45.3%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)))
45.3%1(/.f64 #s(literal 1 binary64) n)
45.3%1n
45.3%1x
Compiler

Compiled 16 to 16 computations (0% saved)

regimes6.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(*.f64 #s(approx (pow (- x -1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (neg (- (exp (- (/ (log x) n) (/ (log (- x -1)) n))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
Calls

4 calls:

2.0ms
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
43.2%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)))
43.2%1(/.f64 #s(literal 1 binary64) n)
43.2%1n
43.2%1x
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.945858069990614e+133
5.29299643094023e+140
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.945858069990614e+133
5.29299643094023e+140
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.945858069990614e+133
5.29299643094023e+140
0.0ms
2.0976713089080874e-5
1.022223027526007
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1635596804577628e+158
9.6581696914024e+167
0.0ms
2.0976713089080874e-5
1.022223027526007
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1635596804577628e+158
9.6581696914024e+167
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1635596804577628e+158
9.6581696914024e+167
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-0.07387419533334885
-5.105485117080538e-8
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1635596804577628e+158
9.6581696914024e+167
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-36596.248889862414
-0.07387419533334885
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1635596804577628e+158
9.6581696914024e+167
0.0ms
1.022223027526007
5.254382390936933
0.0ms
-36596.248889862414
-0.07387419533334885
0.0ms
-1.2559398913009077e+79
-4.980692565251825e+77
0.0ms
-3.608061079155198e+150
-5.377178732860496e+145
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.945858069990614e+133
5.29299643094023e+140
0.0ms
-36596.248889862414
-0.07387419533334885
0.0ms
-9.64380602214745e+142
-4.0032977908858966e+142
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
-1.1577123061767836e-5
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
-1.1577123061767836e-5
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch32.0ms (0.2%)

Memory
2.8MiB live, 48.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
0.00930808352431094
216.06101385567518
Samples
16.0ms45×2valid
6.0ms37×1valid
4.0ms46×0valid
0.0ms0exit
Compiler

Compiled 328 to 325 computations (0.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 14.0ms (72.3% of total)
adjust: 3.0ms (15.5% of total)
ival-div!: 2.0ms (10.3% of total)
ival-sub!: 1.0ms (5.2% of total)
ival-add!: 0.0ms (0% of total)

bsearch59.0ms (0.3%)

Memory
-20.8MiB live, 69.5MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
48.0ms
9.76851877080273e+188
3.1841410718510293e+192
1.0ms
0.00930808352431094
216.06101385567518
Samples
36.0ms94×2valid
2.0ms33×0valid
2.0ms23×0exit
1.0ms1valid
0.0ms1exit
Compiler

Compiled 616 to 613 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 28.0ms (77.1% of total)
adjust: 5.0ms (13.8% of total)
ival-div!: 2.0ms (5.5% of total)
ival-add!: 1.0ms (2.8% of total)
ival-sub!: 1.0ms (2.8% of total)

bsearch15.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
9.76851877080273e+188
3.1841410718510293e+192
13.0ms
0.00930808352431094
216.06101385567518
Samples
5.0ms17×2valid
3.0ms21×1valid
2.0ms26×0valid
Compiler

Compiled 616 to 613 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 6.0ms (69.7% of total)
adjust: 1.0ms (11.6% of total)
ival-div!: 1.0ms (11.6% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations188.0ms (1%)

Memory
-18.3MiB live, 173.8MiB allocated; 14ms collecting garbage
Stop Event
fuel
Compiler

Compiled 347 to 199 computations (42.7% saved)

preprocess155.0ms (0.8%)

Memory
10.1MiB live, 342.9MiB allocated; 63ms collecting garbage
Compiler

Compiled 358 to 207 computations (42.2% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...