2nthrt (problem 3.4.6)

Time bar (total: 17.0s)

start0.0ms (0%)

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

analyze237.0ms (1.4%)

Memory
-39.8MiB live, 298.8MiB allocated; 71ms 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)

sample13.7s (80.4%)

Memory
165.4MiB live, 14 741.6MiB allocated; 3.3s collecting garbage
Samples
9.4s6 068×5exit
1.5s2 935×2valid
1.1s2 751×1valid
326.0ms2 570×0valid
184.0ms1 093×1exit
144.0ms1 537×0exit
17.0ms4exit
7.0ms3exit
Precisions
Click to see histograms. Total time spent on operations: 11.5s
ival-pow: 9.9s (86% of total)
adjust: 1.0s (8.9% of total)
ival-div!: 312.0ms (2.7% of total)
ival-sub!: 145.0ms (1.3% of total)
ival-add!: 133.0ms (1.2% of total)
Bogosity

explain257.0ms (1.5%)

Memory
-29.3MiB live, 402.1MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1180-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3924(1.9648325584202963e-158 1.1897843274573327e-19)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1180
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity630
Confusion
Predicted +Predicted -
+1370
-4475
Precision
0.7569060773480663
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-44075
Precision?
0.7569060773480663
Recall?
1.0
Freqs
test
numberfreq
075
1181
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
88.0ms204×2valid
78.0ms214×1valid
10.0ms94×0valid
Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-pow: 121.0ms (80.5% of total)
adjust: 15.0ms (10% of total)
ival-div!: 7.0ms (4.7% of total)
ival-add!: 4.0ms (2.7% of total)
ival-sub!: 3.0ms (2% of total)

preprocess62.0ms (0.4%)

Memory
-18.6MiB live, 40.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02588
13184
23784
36184
414484
595082
6532682
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(-.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 26 to 16 computations (38.5% saved)

series58.0ms (0.3%)

Memory
38.2MiB live, 83.6MiB allocated; 4ms collecting garbage
Counts
8 → 55
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
Calls

6 calls:

TimeVariablePointExpression
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)))
19.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
11.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
2.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) x 1 (/ 1 n) n (pow x (/ 1 n)))
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)))

rewrite163.0ms (1%)

Memory
-16.0MiB live, 163.9MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03272278
03332030
121232017
081691898
Stop Event
iter-limit
node-limit
iter-limit
Counts
63 → 102
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (* -1 (/ (log (/ 1 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (exp (/ (log (+ 1 x)) n))))
#s(approx (/ 1 n) #s(hole binary64 (/ 1 n)))
#s(approx n #s(hole binary64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 n #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 n #s(literal -1 binary64)))))) (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 n #s(literal -1 binary64)))))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1 binary64) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
n
(*.f64 (neg.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 x (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) x (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) x)))) x))) x) #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n))) x)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (/ 1 n) (pow.f64 n #s(literal -1 binary64)))
#s(approx n n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 x)) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log1p.f64 x)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log.f64 x))) n))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n))) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))

eval13.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 327 to 499 computations (85% saved)

prune11.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New10212114
Fresh000
Picked011
Done000
Total10213115
Accuracy
99.8%
Counts
115 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
51.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
30.9%
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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)))
58.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
35.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
32.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
34.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
68.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
Compiler

Compiled 813 to 472 computations (41.9% saved)

series147.0ms (0.9%)

Memory
-32.9MiB live, 153.2MiB allocated; 33ms collecting garbage
Counts
33 → 225
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)
(fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))
#s(literal -1 binary64)
(+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
(log1p.f64 x)
x
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(-.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)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n))
#s(approx (+ x 1) x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (/ x n) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* x (+ (* x (- (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* -1 (/ x n)) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* x (- (* -1 (/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)) (/ 1 n))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* x (- (* x (+ (* -1 (/ (* x (- 1/3 (* 1/2 (/ 1 n)))) n)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))) (/ 1 n))) (/ (log x) n)))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (- (* -1 (* x (- (* 1/2 (/ 1 n)) 1/2))) 1))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (- (* x (+ (* -1 (* x (- 1/3 (* 1/2 (/ 1 n))))) (* -1 (- (* 1/2 (/ 1 n)) 1/2)))) 1))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ x (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (* -1/2 (pow (log x) 2))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow x 2)))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* -1/2 x))))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* x (- (* 11/24 x) 1/2)))))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -1 (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (pow x 2) (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (pow (log x) 2) #s(hole binary64 (pow (log x) 2)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (+ (/ x n) 1) #s(hole binary64 1))
#s(approx (+ (/ x n) 1) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (/ x n) #s(hole binary64 (/ x n)))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 1))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (/ x n)))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* -1/2 (/ x n)) (/ 1 n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))))
#s(approx (/ (log (+ 1 x)) n) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (+ (* -1 (/ (log (/ 1 x)) n)) (/ (log (/ 1 x)) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (/ 1 (* n x))) (+ (* -1 (/ (log (/ 1 x)) n)) (/ (log (/ 1 x)) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n (pow x 2)))) (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 n)) x)) (+ (* 1/2 (/ 1 (* n (pow x 2)))) (/ (log (/ 1 x)) n)))))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 3)))) (/ 1/3 (* n (pow x 3)))) (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (/ 1 n)) x)) (+ (* -1 (/ (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)) (* 1/2 (/ 1 n))) (pow x 2))) (/ (log (/ 1 x)) n)))))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log (/ 1 x)) (* -1 (log (/ 1 x)))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))) (/ (log (/ 1 x)) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))) (+ (* -1 (/ (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) (* n (pow x 2)))) (/ (log (/ 1 x)) n))))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)))) (* n (pow x 3)))) (+ (* -1 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))) (+ (* -1 (/ (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) (* n (pow x 2)))) (/ (log (/ 1 x)) n)))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log (/ 1 x)) (* -1 (log (/ 1 x))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log (/ 1 x)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log (/ 1 x)) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)) (* -1 (/ (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) (pow x 2))))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log (/ 1 x)) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 3))) (+ (* -1 (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)) (* -1 (/ (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2) (pow x 2)))))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (/ 1 x)))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (/ 1 x)))) (/ 1/2 (pow x 2)))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 3))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (* -1 (/ (log (/ 1 x)) (* n x)))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (* -1 (/ (log (/ 1 x)) x))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (/ (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (+ 1 (log (/ 1 x))) x))) x)))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (/ (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) x)) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (pow x 2))))) x)))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (/ (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) x)) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (pow x 2)))))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -2 (/ (log (/ 1 x)) x))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (pow (log (/ 1 x)) 2)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))))
#s(approx (pow (log x) 2) #s(hole binary64 (pow (log (/ 1 x)) 2)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (log (+ 1 x)) (log x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (/ (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (+ (log x) (* -1 (log (+ 1 x))))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (* -1 (log (+ 1 x))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (+ (log x) (* -1 (log (+ 1 x)))))) n))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log x) (* -1 (log (+ 1 x))))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n))
32.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n))
18.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n))
15.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n))
14.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n))

rewrite242.0ms (1.4%)

Memory
57.3MiB live, 331.7MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011289446
011748542
177148509
092478244
Stop Event
iter-limit
node-limit
iter-limit
Counts
258 → 326
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)
(fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))
#s(literal -1 binary64)
(+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
(log1p.f64 x)
x
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(-.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)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n))
#s(approx (+ x 1) x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (/ x n) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* x (+ (* x (- (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* -1 (/ x n)) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* x (- (* -1 (/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)) (/ 1 n))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* x (- (* x (+ (* -1 (/ (* x (- 1/3 (* 1/2 (/ 1 n)))) n)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))) (/ 1 n))) (/ (log x) n)))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (- (* -1 (* x (- (* 1/2 (/ 1 n)) 1/2))) 1))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (- (* x (+ (* -1 (* x (- 1/3 (* 1/2 (/ 1 n))))) (* -1 (- (* 1/2 (/ 1 n)) 1/2)))) 1))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ x (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (+ (log x) (* -1 (log (+ 1 x)))))) n))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log x) (* -1 (log (+ 1 x))))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x))) n)
(/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x)) n))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x))) (neg.f64 n))
(/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x)) n)
(+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (log.f64 x))
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) (log.f64 x))
(+.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))
(+.f64 (log.f64 x) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))))
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n))) (-.f64 (log1p.f64 x) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n)) (*.f64 (log1p.f64 x) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))
(-.f64 (log1p.f64 x) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n) (log1p.f64 x))
(+.f64 (log1p.f64 x) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n))
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) x))
x
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n)
(-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1 binary64)))
(*.f64 (log1p.f64 x) (log1p.f64 x))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (log1p.f64 x)))
#s(literal 2 binary64)
(*.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(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)))
(log.f64 x)
n
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (*.f64 (log.f64 x) (pow.f64 n #s(literal -1 binary64)))))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))) (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) (/.f64 x n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))
(/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 #s(literal 1 binary64) (/.f64 x n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 x n) (/.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) #s(literal 1 binary64)))))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 (neg.f64 x) (neg.f64 n))
(/.f64 x n)
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ x 1) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(approx (+ x 1) x) (pow.f64 n #s(literal -1 binary64)))) (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 (pow.f64 #s(approx (+ x 1) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
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(-.f64 (pow.f64 #s(approx (+ x 1) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(approx (+ x 1) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(pow.f64 #s(approx (+ x 1) x) (pow.f64 n #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ x 1) x)) (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (+ x 1) x)) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (*.f64 (log.f64 #s(approx (+ x 1) x)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (+ x 1) x)
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(+.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (sinh.f64 (/.f64 (log1p.f64 x) n)))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n))
(/.f64 (log1p.f64 x) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))))
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#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
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#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (fma.f64 (/.f64 (*.f64 x x) n) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))))
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#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
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#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
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#s(approx (pow (log (+ 1 x)) 2) (*.f64 x x))
#s(approx (pow (log (+ 1 x)) 2) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (log (+ 1 x)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (log (+ 1 x)) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/6 binary64) x #s(literal 11/12 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (pow (log x) 2) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
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#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (log.f64 x) n)))
#s(approx (+ (/ x n) 1) #s(literal 1 binary64))
#s(approx (+ (/ x n) 1) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (/ x n) (/.f64 x n))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (exp (/ (log (+ 1 x)) n)) #s(literal 1 binary64))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
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#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
#s(approx (/ (log (+ 1 x)) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (pow.f64 n #s(literal -1 binary64))) x))
#s(approx (/ (log (+ 1 x)) n) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x (pow.f64 n #s(literal -1 binary64))) x))
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#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) x)))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) x) #s(literal 2 binary64)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) #s(literal 11/12 binary64)) x))) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)))
#s(approx (pow (log (+ 1 x)) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log (+ 1 x)) 2) (fma.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) x) #s(literal 2 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 x)) 2) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) #s(literal -1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 x)) 2) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2/3 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x) #s(literal -1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (pow (log x) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (log x) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (pow x (/ 1 n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (exp (/ (log (+ 1 x)) n)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (*.f64 n x)) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (*.f64 (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n)) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n))) x)))) x))) x) #s(literal -1 binary64) (exp.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))))
#s(approx (/ (log (+ 1 x)) n) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) n))
#s(approx (/ (log (+ 1 x)) n) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n) #s(literal -1 binary64) (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) n) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))))
#s(approx (/ (log (+ 1 x)) n) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n x)) (pow.f64 n #s(literal -1 binary64))) x) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) n))))
#s(approx (/ (log (+ 1 x)) n) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (pow.f64 n #s(literal -1 binary64))) x) #s(literal -1 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) #s(literal 1/2 binary64)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) n) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 n n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) n))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) n)) n))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n))
#s(approx n n)
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (/ 1 n) (pow.f64 n #s(literal -1 binary64)))
#s(approx (+ (/ x n) 1) (/.f64 (+.f64 n x) n))
#s(approx (exp (/ (log (+ 1 x)) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (/ (log (+ 1 x)) n) (/.f64 (log1p.f64 x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64))) (log1p.f64 x)) (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log1p.f64 x)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) (log.f64 x))) n))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/.f64 (neg.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x))) n))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) n) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x))) n))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) (log.f64 x)) n))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) (log.f64 x)))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log1p.f64 x))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n))) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (+.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log1p.f64 x) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) (neg.f64 (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (*.f64 #s(literal 1 binary64) (log.f64 x))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (neg.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)))) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (pow x (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (exp (/ (log (+ 1 x)) n)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)))

eval70.0ms (0.4%)

Memory
-47.1MiB live, 109.1MiB allocated; 24ms collecting garbage
Compiler

Compiled 20 194 to 2 497 computations (87.6% saved)

prune27.0ms (0.2%)

Memory
0.9MiB live, 47.7MiB allocated; 1ms collecting garbage
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New44717464
Fresh077
Picked325
Done011
Total45027477
Accuracy
99.8%
Counts
477 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
51.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
15.2%
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
30.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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)))
9.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
22.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
51.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
35.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
17.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
31.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
32.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
34.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
68.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
67.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))) n)))
59.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))))) n)))
39.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
31.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
31.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) n)))
41.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
68.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))))
Compiler

Compiled 2 163 to 1 192 computations (44.9% saved)

series138.0ms (0.8%)

Memory
-1.5MiB live, 183.4MiB allocated; 25ms collecting garbage
Counts
54 → 366
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)
(fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))
#s(literal -1 binary64)
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
(neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n))
(/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))
#s(literal 0 binary64)
(neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n))
(/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))))
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))
(fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n)
(fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 x x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
(neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n)
(neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(/.f64 (log.f64 x) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (/ x n) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (- (* x (+ (* x (- (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* -1 (/ x n)) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* x (- (* -1 (/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)) (/ 1 n))) (/ (log x) n)))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (* x (- (* x (+ (* -1 (/ (* x (- 1/3 (* 1/2 (/ 1 n)))) n)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))) (/ 1 n))) (/ (log x) n)))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (- (* -1 (* x (- (* 1/2 (/ 1 n)) 1/2))) 1))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (- (* x (+ (* -1 (* x (- 1/3 (* 1/2 (/ 1 n))))) (* -1 (- (* 1/2 (/ 1 n)) 1/2)))) 1))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ x (* -1/2 (/ (pow (log x) 2) n)))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (* -1/2 (/ (pow (log x) 2) n))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))))
#s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) #s(hole binary64 (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (* -1/2 (pow (log x) 2))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow x 2)))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* -1/2 x))))))
#s(approx (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) #s(hole binary64 (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (+ 1/2 (* x (- (* 11/24 x) 1/2)))))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (* -1 (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (pow x 2) (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) #s(hole binary64 (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (pow x 2)))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))))
#s(approx (pow (log (+ 1 x)) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))))
#s(approx (pow (log x) 2) #s(hole binary64 (pow (log x) 2)))
#s(approx (log x) #s(hole binary64 (log x)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 1))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ x n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (exp (/ (log x) n))))
#s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (* -1 (/ (+ 1 (/ (log x) n)) x))))
#s(approx (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)) #s(hole binary64 (* -1 (/ (+ 1 (/ (log x) n)) x))))
#s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) #s(hole binary64 (/ (+ 1 (/ (log x) n)) x)))
#s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (/ (neg (log x)) n) #s(hole binary64 (* -1 (/ (log x) n))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (log x))) n)) 1/2) (pow x 2)))))
#s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) #s(hole binary64 (/ (+ (* -1 (* x (+ 1 (/ (log x) n)))) (* -1 (- (* 1/2 (/ (+ 1 (* -1 (log x))) n)) 1/2))) (pow x 2))))
#s(approx (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (log x))) n)) 1/2) (pow x 2)))))
#s(approx (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (/ (+ (* -1 (* x (+ 1 (/ (log x) n)))) (* -1 (- (* 1/2 (/ (+ 1 (* -1 (log x))) n)) 1/2))) (pow x 2))))
#s(approx (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) #s(hole binary64 (/ (- (* 1/2 (/ (+ 1 (* -1 (log x))) n)) 1/2) (pow x 2))))
#s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(hole binary64 (- (* 1/2 (/ (+ 1 (* -1 (log x))) n)) 1/2)))
#s(approx (* (/ (+ (* (log x) -1) 1) n) 1/2) #s(hole binary64 (* 1/2 (/ (+ 1 (* -1 (log x))) n))))
#s(approx (/ (+ (* (log x) -1) 1) n) #s(hole binary64 (/ (+ 1 (* -1 (log x))) n)))
#s(approx (+ (* (log x) -1) 1) #s(hole binary64 (+ 1 (* -1 (log x)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (* -1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (- (/ x n) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (- (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (- (* x (+ (* x (- (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (/ 1 n))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n)) #s(hole binary64 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
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Calls

6 calls:

TimeVariablePointExpression
26.0ms
n
@-inf
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24.0ms
n
@0
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22.0ms
n
@inf
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21.0ms
x
@inf
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20.0ms
x
@-inf
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rewrite192.0ms (1.1%)

Memory
31.4MiB live, 270.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151916681
0160016058
0813115649
Stop Event
iter-limit
node-limit
iter-limit
Counts
420 → 497
Calls
Call 1
Inputs
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (/ (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (+ (log x) (* -1 (log (+ 1 x))))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (* -1 (log (+ 1 x))))))
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(hole binary64 (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (/ (log (+ 1 x)) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 1))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (/ (log x) n))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))))
#s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (/ -1 x)))
#s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (- (* -1 (/ (log x) (* n x))) (/ 1 x))))
#s(approx (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)) #s(hole binary64 (/ -1 x)))
#s(approx (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)) #s(hole binary64 (- (* -1 (/ (log x) (* n x))) (/ 1 x))))
#s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) #s(hole binary64 (+ (/ 1 x) (/ (log x) (* n x)))))
#s(approx (+ (* (/ (neg (log x)) n) -1) 1) #s(hole binary64 1))
#s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) #s(hole binary64 (- (+ (* -1/2 (/ (+ 1 (* -1 (log x))) (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))) (+ (/ 1 x) (/ (log x) (* n x))))))
#s(approx (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (- (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
#s(approx (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (- (+ (* -1/2 (/ (+ 1 (* -1 (log x))) (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))) (+ (/ 1 x) (/ (log x) (* n x))))))
#s(approx (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) #s(hole binary64 (/ -1/2 (pow x 2))))
#s(approx (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) #s(hole binary64 (- (* 1/2 (/ (+ 1 (* -1 (log x))) (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(hole binary64 -1/2))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n))))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (/ (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (+ (log x) (* -1 (log (+ 1 x))))) n)))
#s(approx (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n)) #s(hole binary64 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)))
#s(approx (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n)) #s(hole binary64 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)))
#s(approx (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) #s(hole binary64 (* -1 (/ (log (+ 1 x)) n))))
#s(approx (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) #s(hole binary64 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)))
#s(approx (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) #s(hole binary64 (* -1 (log (+ 1 x)))))
#s(approx (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) #s(hole binary64 (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x)))))
#s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) #s(hole binary64 (log (+ 1 x))))
#s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) #s(hole binary64 (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))))
#s(approx (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (* -1 (+ (log x) (* -1 (log (+ 1 x)))))) n))))
#s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) #s(hole binary64 (* -1 (/ (+ (* -1 (+ (log x) (* -1 (log (+ 1 x))))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))))
#s(approx (pow x (/ 1 n)) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))))
#s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) #s(hole binary64 (- (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (log x))) (pow x 2))) (* -1 (/ (log x) x))) n)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) #s(hole binary64 (- (+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (log x))) (pow x 2))) (* -1 (/ (log x) x))) n)) (* 1/2 (/ 1 (pow x 2)))) (/ 1 x))))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (/ (+ (log (+ 1 x)) (* -1 (log x))) n)))
#s(approx (neg (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n))) #s(hole binary64 (* -1 (/ (- (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (+ (log (+ 1 x)) (* -1 (log x)))) n))))
#s(approx (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n)) #s(hole binary64 (* -1 (/ (+ (log (+ 1 x)) (* -1 (log x))) n))))
#s(approx (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n)) #s(hole binary64 (* -1 (/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n))))
#s(approx (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) #s(hole binary64 (* -1 (/ (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) (neg.f64 n)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))) n)
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) (neg.f64 n))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))) (neg.f64 n))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)
(+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (log.f64 x)))))
(fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (log.f64 x))
#s(literal -1 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (-.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (*.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)))))
(+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1 binary64)))
(*.f64 (log1p.f64 x) (log1p.f64 x))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(log1p.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(*.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) (pow.f64 (log.f64 x) #s(literal 1 binary64)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 2 binary64)))
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#s(approx (+ (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (/ (log x) n)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log1p.f64 x) (-.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))) n)))
#s(approx (/ (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) n)))

eval90.0ms (0.5%)

Memory
10.7MiB live, 144.0MiB allocated; 18ms collecting garbage
Compiler

Compiled 42 883 to 4 188 computations (90.2% saved)

prune60.0ms (0.4%)

Memory
0.1MiB live, 108.6MiB allocated; 41ms collecting garbage
Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New64310653
Fresh31619
Picked415
Done033
Total65030680
Accuracy
99.8%
Counts
680 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
51.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
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)))
9.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
16.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
22.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
51.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
35.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
32.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
34.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
31.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n (*.f64 n (log.f64 x))) (*.f64 n n))))
49.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x))))) (log.f64 x)) n)))
67.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))) n)))
59.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))))) n)))
39.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
34.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
31.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) n)))
28.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
40.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
28.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
28.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
40.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))))
Compiler

Compiled 2 764 to 1 543 computations (44.2% saved)

series214.0ms (1.3%)

Memory
-26.1MiB live, 301.7MiB allocated; 31ms collecting garbage
Counts
56 → 453
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))) n)))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))) n))
(/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))) n)
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x)))
(-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))))
(neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
n
#s(literal 1/2 binary64)
(-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
(neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n))
(/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)
#s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x))))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))
#s(literal 0 binary64)
(neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x))
(/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)
#s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n)))
(exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))
(/.f64 #s(approx (log (+ 1 x)) x) n)
#s(approx (log (+ 1 x)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x)
(fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n))
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
(/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)
(-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 n #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- 1 (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (/ x n)) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(hole binary64 (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))))
#s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) #s(hole binary64 (/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))))
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#s(approx (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n) #s(hole binary64 (* -1 (/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))))
#s(approx (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n) #s(hole binary64 (+ (* -1 (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (* -1 (/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))))))
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#s(approx (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n) #s(hole binary64 (+ (* -1 (/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (+ (* -1 (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))))) (* x (+ (* -1 (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3)))) (+ (/ 1 (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))) (+ (/ (* (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 4))))))) (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 4)))) (+ (/ 1 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))) (+ (/ 1 (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (+ (/ (* (- 1/3 (* 1/2 (/ 1 n))) (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2))) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (/ (* (- (* 1/2 (/ 1 n)) 1/2) (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))))) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))))))))) (* -1 (- (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3)))) (/ 1 (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2)))) (+ (/ (* (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (/ (pow (log x) 2) (* n (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 3))))))))))))))
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#s(approx (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) #s(hole binary64 (+ (* -1 (* x (- (+ (* -1 (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (/ (pow (log x) 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))) (* 1/4 (/ (pow (log x) 4) (* (pow n 2) (pow (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) 2))))))) (* -1 (/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))))
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Calls

6 calls:

TimeVariablePointExpression
47.0ms
n
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39.0ms
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31.0ms
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25.0ms
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22.0ms
n
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rewrite262.0ms (1.5%)

Memory
45.6MiB live, 367.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0253338221
0260935244
0871634301
Stop Event
iter-limit
node-limit
iter-limit
Counts
509 → 555
Calls
Call 1
Inputs
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#s(approx (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n n)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n n)) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) n))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n n)) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) n) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))) n) (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
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#s(approx (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n n)))))
#s(approx (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n n)) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) n))))))))
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#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (pow (log (+ 1 x)) 2) (*.f64 x x))
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#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
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#s(approx x x)
#s(approx (pow (log x) 2) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log x) (log.f64 x))
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#s(approx (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x)) (-.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
#s(approx (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64))) (+.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))))
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#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) (pow.f64 n #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64))))))
#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) (pow.f64 n #s(literal -2 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal -3 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64))))))
#s(approx (+ (/ x n) 1) #s(literal 1 binary64))
#s(approx (+ (/ x n) 1) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
#s(approx (/ x n) (/.f64 x n))
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#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (log.f64 x) x))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (log.f64 x) x)))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 (log.f64 x) x)))) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal -1 binary64))) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))))) n) (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) n)))
#s(approx (exp (neg (/ (neg (log x)) 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 (exp (neg (/ (neg (log x)) 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 (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) n)))
#s(approx (- (* (pow n -2) 1/2) (/ 1/2 n)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)) #s(literal 1 binary64)) n)))
#s(approx (/ (exp (neg (/ (neg (log x)) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))) n)) #s(literal 1 binary64)) n)))

eval153.0ms (0.9%)

Memory
-26.1MiB live, 215.5MiB allocated; 45ms collecting garbage
Compiler

Compiled 88 048 to 6 017 computations (93.2% saved)

prune49.0ms (0.3%)

Memory
12.5MiB live, 59.5MiB allocated; 1ms collecting garbage
Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New91412926
Fresh21921
Picked235
Done044
Total91838956
Accuracy
99.8%
Counts
956 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
51.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
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)))
9.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
16.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
22.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
51.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
8.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
35.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
36.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 #s(approx (- (* (pow n -2) 1/2) (/ 1/2 n)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n n))) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
32.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
34.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
60.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
28.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
61.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n) x)))
31.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n (*.f64 n (log.f64 x))) (*.f64 n n))))
49.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x))))) (log.f64 x)) n)))
68.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) n)))
39.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
34.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
31.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) n)))
28.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
40.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
28.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
28.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
40.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))))
31.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) (*.f64 x x))))
32.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (*.f64 x x)) (/.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) x)))) (*.f64 n n))))
28.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
60.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))))
41.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
Compiler

Compiled 4 585 to 1 497 computations (67.4% saved)

regimes52.0ms (0.3%)

Memory
-0.9MiB live, 44.9MiB allocated; 3ms collecting garbage
Counts
52 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x))))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 #s(approx (- (* (pow n -2) 1/2) (/ 1/2 n)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n n))) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) n (*.f64 n (log.f64 x))) (*.f64 n n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (fma.f64 (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (*.f64 x (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n))))) n)) (*.f64 x x))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (pow.f64 n #s(literal -4 binary64)) #s(literal 1/24 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x))) (log.f64 x))))) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

14.0ms
x
13.0ms
n
12.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
(-.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
87.9%3(/.f64 #s(literal 1 binary64) n)
85.7%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)))
82.0%2x
87.9%4n
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
42 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x))))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 #s(approx (- (* (pow n -2) 1/2) (/ 1/2 n)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n n))) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes14.0ms (0.1%)

Memory
-34.5MiB live, 12.0MiB allocated; 1ms collecting garbage
Counts
41 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x))))) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 #s(approx (- (* (pow n -2) 1/2) (/ 1/2 n)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n n))) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 #s(approx (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) n)) (*.f64 n n)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes10.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) #s(literal 1 binary64)) n) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.5%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes16.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
28 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (+.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log1p.f64 x))) n) (/.f64 (log.f64 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)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 #s(approx (log (+ 1 x)) x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Calls

2 calls:

7.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
n
Results
AccuracySegmentsBranch
87.5%4n
87.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes28.0ms (0.2%)

Memory
-24.9MiB live, 24.0MiB allocated; 4ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

4 calls:

6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
5.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
60.7%1x
81.7%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)))
69.5%3(/.f64 #s(literal 1 binary64) n)
69.5%4n
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
Calls

1 calls:

5.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
81.2%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes23.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.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(approx (+ (/ x n) 1) (*.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

4 calls:

6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
4.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
56.0%3x
56.4%6n
56.4%5(/.f64 #s(literal 1 binary64) n)
53.5%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 18 to 16 computations (11.1% saved)

regimes7.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
20 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (log.f64 x) (*.f64 n x)))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (neg (/ (/ (- (* (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))))) (pow (log x) 2)) (- (neg (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x)))) (log x))) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(approx (+ (* (/ (neg (log x)) n) -1) 1) (/.f64 (log.f64 x) n)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* (/ (neg (log x)) n) -1) 1) x) (/.f64 (/.f64 (+.f64 n (log.f64 x)) x) n))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (+ (* (/ (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) (* x x)) -1) (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) n)) #s(literal 1/2 binary64)) (*.f64 x x))))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (- (* (/ (+ (* (log x) -1) 1) n) 1/2) 1/2) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) x))))) n)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
54.5%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.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 (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
54.4%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Counts
11 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (*.f64 n x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
54.1%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0%)

Memory
-40.1MiB live, 6.6MiB allocated; 2ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 #s(approx (+ x 1) x) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
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
51.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.5%3x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes7.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg.f64 (/.f64 #s(approx (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) #s(approx (+ 0 (neg (/ (+ (* (/ (neg (log x)) n) -1) 1) x))) (/.f64 #s(literal -1 binary64) x))) n)))
Calls

4 calls:

2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
1.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
40.8%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)))
50.2%3n
50.2%3(/.f64 #s(literal 1 binary64) n)
45.5%2x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

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

Total -18.4b remaining (-41.8%)

Threshold costs -18.4b (-41.8%)

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

4 calls:

1.0ms
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
31.1%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.1%1x
31.1%1(/.f64 #s(literal 1 binary64) n)
31.1%1n
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01769387206131968
0.8757721081781726
0.0ms
-2.418683579139504e-84
-2.344012771019825e-88
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
0.01769387206131968
0.8757721081781726
0.0ms
-2.418683579139504e-84
-2.344012771019825e-88
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
0.01769387206131968
0.8757721081781726
0.0ms
-2.418683579139504e-84
-2.344012771019825e-88
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
0.8757721081781726
2366187439.7195115
0.0ms
-2.418683579139504e-84
-2.344012771019825e-88
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch133.0ms (0.8%)

Memory
23.5MiB live, 69.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
4.2262078786055105e-10
1.1418495641294775
41.0ms
-1065054763.8449919
-0.05343383667548277
49.0ms
-4.266188360249093e+87
-4.1344804612919656e+83
Samples
62.0ms235×1valid
33.0ms80×2valid
9.0ms117×0valid
4.0ms34×1exit
Compiler

Compiled 2 682 to 1 258 computations (53.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-pow: 74.0ms (78.1% of total)
adjust: 11.0ms (11.6% of total)
ival-div!: 5.0ms (5.3% of total)
ival-add!: 2.0ms (2.1% of total)
ival-sub!: 2.0ms (2.1% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18608509011392016
1.0
0.0ms
-inf
0.0
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.18608509011392016
1.0
0.0ms
-inf
0.0
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch67.0ms (0.4%)

Memory
-8.9MiB live, 36.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
3.7173208552530844e+143
1.9508812804147178e+146
28.0ms
0.0007946885541448656
7.365259251979444
Samples
32.0ms101×2valid
9.0ms100×0valid
8.0ms55×1valid
2.0ms28×0exit
Compiler

Compiled 1 264 to 789 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 30.0ms (69% of total)
adjust: 6.0ms (13.8% of total)
ival-sub!: 4.0ms (9.2% of total)
ival-div!: 3.0ms (6.9% of total)
ival-add!: 1.0ms (2.3% of total)

bsearch3.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7173208552530844e+143
1.9508812804147178e+146
1.0ms
0.0007946885541448656
7.365259251979444
Compiler

Compiled 1 184 to 765 computations (35.4% saved)

bsearch2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7173208552530844e+143
1.9508812804147178e+146
1.0ms
0.0007946885541448656
7.365259251979444
Compiler

Compiled 1 216 to 781 computations (35.8% saved)

bsearch2.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7173208552530844e+143
1.9508812804147178e+146
1.0ms
0.0007946885541448656
7.365259251979444
Compiler

Compiled 1 184 to 765 computations (35.4% saved)

bsearch23.0ms (0.1%)

Memory
-36.7MiB live, 10.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.7173208552530844e+143
1.9508812804147178e+146
21.0ms
0.0002617853819402842
0.0007946885541448656
Samples
9.0ms30×1valid
6.0ms21×2valid
2.0ms29×0valid
Compiler

Compiled 1 020 to 663 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow: 13.0ms (84.3% of total)
adjust: 1.0ms (6.5% of total)
ival-div!: 1.0ms (6.5% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Memory
22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
-5.988743596381624e-223
-9.68860227760426e-227
21.0ms
-1065054763.8449919
-0.05343383667548277
Samples
15.0ms230×0valid
7.0ms40×1valid
1.0ms2valid
Compiler

Compiled 1 420 to 913 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-pow: 13.0ms (74.2% of total)
ival-div!: 2.0ms (11.4% of total)
ival-add!: 1.0ms (5.7% of total)
adjust: 1.0ms (5.7% of total)
ival-sub!: 1.0ms (5.7% of total)

derivations356.0ms (2.1%)

Memory
2.7MiB live, 138.7MiB allocated; 10ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 449 to 206 computations (85.8% saved)

preprocess70.0ms (0.4%)

Memory
11.6MiB live, 62.7MiB allocated; 18ms collecting garbage
Compiler

Compiled 2 924 to 428 computations (85.4% saved)

end0.0ms (0%)

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

Profiling

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